Evaluasi #3: Turunan Fungsi Trigonometri

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| By Hermanjoyo

Hermanjoyo

Community Contributor

Quizzes Created: 1 | Total Attempts: 819

Questions: 10 | Attempts: 819 | Updated: Mar 21, 2023

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Evaluasi #3: Turunan Fungsi Trigonometri - Quiz

Kuis ini dibuat oleh selingkarrumahmatematika. Blogspot. Com
Silakan kerjakan 10 butir soal tentang Turunan Fungsi Trigonometri berikut:

Questions and Answers

1.

Jika
- A.
- B.
- C.
Correct Answer
B.
2.

Jika
- A.
- B.
- C.
- D.
Correct Answer
D.
3.

Jika
- A.
  
  -sec x cot x
- B.
  
  -cosec x cot x
- C.
  
  -sin cot x
- D.
  
  Cos x cot x
Correct Answer
B. -cosec x cot x

Explanation
The correct answer is "-cosec x cot x" because when we simplify the expression "-sec x cot x", we can rewrite "sec x" as "1/cos x" and "cot x" as "1/tan x". Then, we can multiply the two fractions together to get "-cosec x cot x", which is the final simplified form of the expression.

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4.

Jika
- A.
  
  Cos 2x
- B.
  
  2 cos 2x
- C.
  
  Cos 2x
- D.
  
  2 cot 2x
Correct Answer
B. 2 cos 2x

Explanation
The given expression is simplified by combining the two terms "cos 2x" and "2 cos 2x" into one term "2 cos 2x". This is done by adding the coefficients of the two terms, which gives us 2+2=4. Therefore, the correct answer is "2 cos 2x".

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5.

Jika
- A.
- B.
- C.
- D.
Correct Answer
C.
6.

Jika
- A.
- B.
- C.
- D.
Correct Answer
A.
7.

Jika
- A.
- B.
- C.
- D.
Correct Answer
A.
8.

Jika
- A.
- B.
- C.
- D.
Correct Answer
D.
9.

Jika
- A.
  
  Sin 2 x + 2 sin x
- B.
  
  2 sin x + sin 2 x
- C.
  
  Cos 2 x + 2 cos x
- D.
  
  2 cos x + cos 2 x
Correct Answer
D. 2 cos x + cos 2 x

Explanation
The given expression can be rewritten as 2 cos x + cos 2 x by using the identity sin^2(x) + cos^2(x) = 1 and the double angle formula for sine. This simplification allows us to combine like terms and rearrange the terms in a different order, but it ultimately represents the same expression.

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10.

Jika
- A.
  
  Cos x
- B.
  
  Sin x
- C.
  
  Cot x
- D.
  
  Tan x
Correct Answer
C. Cot x

Explanation
The given expressions include trigonometric functions such as cosine (cos), sine (sin), cotangent (cot), and tangent (tan). The correct answer, cot x, represents the cotangent function of x. The cotangent is the reciprocal of the tangent function, which is equal to 1 divided by the tangent of x. Therefore, cot x can be obtained by taking the reciprocal of tan x.

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