Trigonometric Equations & Identities- Assessment Quiz

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  • 1/10 Questions

    What can be used to find the missing lengths of the sides of a right triangle?

    • Pythagorean theorem
    • Reciprocal
    • Angle
    • Calculated theorem
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About This Quiz

How much do you know about trigonometric equations and identities? A trigonometric identity includes trigonometric functions and is valid for each value of the happening variables where the two sides of the equality are characterized, while a trigonometric equation contains a trigonometric function. Check out our online quiz and assess your skills. All the Best!

Trigonometric Equations & Identities- Assessment Quiz - Quiz

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  • 2. 
    A trigonometric identity expressing the Pythagorean theorem in terms of trigonometric function is...  - ProProfs

    A trigonometric identity expressing the Pythagorean theorem in terms of trigonometric function is... 

    • Pythagorean triangular identity

    • Pythagorean trigonometric identity

    • Pythagorean trigonometric matrix

    • Pythagorean triangular matrix

    Correct Answer
    A. Pythagorean trigonometric identity
    Explanation
    The Pythagorean trigonometric identity is a trigonometric identity that relates the three main trigonometric functions (sine, cosine, and tangent) in a right triangle. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This identity is derived from the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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  • 3. 
    Identities involving certain functions of one or more angles are...  - ProProfs

    Identities involving certain functions of one or more angles are... 

    • Figures

    • Nominal values

    • Trigonometric identities

    • Chart

    Correct Answer
    A. Trigonometric identities
    Explanation
    Trigonometric identities are mathematical equations that relate the angles and lengths of a triangle. These identities are useful in solving trigonometric equations and simplifying expressions involving trigonometric functions. They help in proving various mathematical theorems and solving problems in fields such as physics, engineering, and geometry. Therefore, the correct answer is "Trigonometric identities."

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  • 4. 
    Any equation that contains a trigonometric function is...  - ProProfs

    Any equation that contains a trigonometric function is... 

    • Algebraic trigonometry

    • Trigonometric equation

    • Trigonometric constant

    • Constant equation

    Correct Answer
    A. Trigonometric equation
    Explanation
    A trigonometric equation is a type of equation that includes one or more trigonometric functions. It involves finding the values of the variables that satisfy the equation. In contrast, algebraic trigonometry refers to the study of algebraic relationships involving trigonometric functions. Trigonometric constants are specific values of trigonometric functions, such as the value of sine or cosine at certain angles. A constant equation is an equation where the variables are absent, and it represents a statement that is always true or always false. Therefore, the correct answer is "Trigonometric equation" because it accurately describes an equation that contains a trigonometric function.

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  • 5. 
    An equation which is always true is referred to as...  - ProProfs

    An equation which is always true is referred to as... 

    • Identity

    • Law

    • Theory

    • Work

    Correct Answer
    A. Identity
    Explanation
    An equation which is always true, regardless of the values of the variables involved, is referred to as an identity. This means that the equation holds true for all possible values of the variables. It is a fundamental concept in mathematics and is used to establish relationships between different mathematical expressions.

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  • 6. 
    Equalities that involve trigonometric functions and are true for every value of the occurring variables are called...    - ProProfs

    Equalities that involve trigonometric functions and are true for every value of the occurring variables are called...   

    • Trigonometric identities

    • Numeric values

    • Identities

    • Values

    Correct Answer
    A. Trigonometric identities
    Explanation
    Trigonometric identities are equalities that hold true for all values of the variables involved. These identities are derived from the fundamental properties of trigonometric functions and are widely used in solving trigonometric equations and simplifying expressions. They help establish relationships between different trigonometric functions and are essential tools in various branches of mathematics and physics.

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  • 7. 
    Which of these is a trigonometric function? - ProProfs

    Which of these is a trigonometric function?

    • Cotangent

    • Division

    • Bracket

    • BODMAS

    Correct Answer
    A. Cotangent
    Explanation
    Cotangent is a trigonometric function that represents the ratio of the adjacent side to the opposite side in a right triangle. It is abbreviated as cot. The other options, Division, Bracket, and BODMAS, are not trigonometric functions. Division is a mathematical operation, Bracket is a punctuation mark used in mathematical expressions, and BODMAS is an acronym for the order of operations in mathematics.

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  • 8. 
    A right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist is...  - ProProfs

    A right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist is... 

    • Special Right triangle

    • Triangle

    • Angular line

    • Curve

    Correct Answer
    A. Special Right triangle
    Explanation
    A special right triangle is a right triangle that has specific properties or ratios that make calculations and problem-solving easier. These properties include having angles that are multiples of 30 degrees or 45 degrees, or having side lengths that form simple ratios such as 3:4:5 or 5:12:13. Special right triangles have well-known formulas and relationships that can be used to quickly find missing side lengths or angles without the need for complex calculations.

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  • 9. 
    Trigonometric identities showing the relationship between sine and cosine are... - ProProfs

    Trigonometric identities showing the relationship between sine and cosine are...

    • Factors

    • Cofunction identities

    • Derivatives

    • Integrals

    Correct Answer
    A. Cofunction identities
    Explanation
    Cofunction identities are trigonometric identities that show the relationship between sine and cosine. They state that the sine of an angle is equal to the cosine of its complement, and vice versa. These identities are useful in simplifying trigonometric expressions and solving trigonometric equations. They can also be used to find the values of trigonometric functions for angles that are not commonly known. Therefore, the correct answer is cofunction identities.

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  • 10. 
    Identities involving certain functions of one or more angles are called... - ProProfs

    Identities involving certain functions of one or more angles are called...

    • Quotient identities

    • Reciprocal identities

    • Pythagorean identities

    • Half-angle identities

    Correct Answer
    A. Quotient identities
    Explanation
    Quotient identities involve the ratios of trigonometric functions, such as sine, cosine, and tangent, and are used to express one trigonometric function in terms of another. Reciprocal identities involve the reciprocal relationships between trigonometric functions, such as sine and cosecant, cosine and secant, and tangent and cotangent. Pythagorean identities involve the relationship between the squares of the trigonometric functions, such as sine squared plus cosine squared equals one. Half-angle identities involve expressing trigonometric functions of half an angle in terms of trigonometric functions of the original angle. Since the question asks for identities involving functions of angles, the correct answer is Quotient identities.

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  • Mar 21, 2023
    Quiz Edited by
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  • Dec 21, 2017
    Quiz Created by
    Cripstwick
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