Evaluasi #3: Turunan Fungsi Trigonometri

1. Jika

Cos 2x

2 cos 2x

Cos 2x

2 cot 2x

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".

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".

2. Jika

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Explanation

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3. Jika

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4. Jika

-sec x cot x

-cosec x cot x

-sin cot x

Cos x cot x

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.

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.

5. Jika

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6. Jika

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7. Jika

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8. Jika

Cos x

Sin x

Cot x

Tan x

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.

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.

9. Jika

Sin 2 x + 2 sin x

2 sin x + sin 2 x

Cos 2 x + 2 cos x

2 cos x + cos 2 x

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.

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.

10. Jika

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Explanation

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