Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter(A,B, C, D or E)in each blank A . tan⁡(arcsin⁡(x8)) B . cos⁡(arsin⁡(x8)) C. (12)sin⁡(2arcsin⁡(x8)) D. sin⁡(arctan⁡(x8)) E. cos⁡(arctan⁡(x8))

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Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter(A,B, C, D or E)in each blank  A . tan⁡(arcsin⁡(x8))  B . cos⁡(arsin⁡(x8))  C. (12)sin⁡(2arcsin⁡(x8))  D. sin⁡(arctan⁡(x8))  E. cos⁡(arctan⁡(x8))

Cullen · Accepted Answer

Here is right answer..

alenahelenash · Accepted Answer

To solve the given problem, let&#039;s analyze each trigonometric expression and match it with the equivalent non-trigonometric function from the provided list.A) tan(arcsin(x8))We know that arcsin(θ) represents the inverse sine function, which gives the angle whose sine is θ. In this case, arcsin(x8) will give us the angle whose sine is x8.Then, taking the tangent of this angle using tan(θ) will yield the value of the tangent function at that angle.Therefore, the equivalent non-trigonometric function is the ratio of the sine and cosine functions:A) tan(arcsin(x8))=sin(arcsin(x8))cos(arcsin(x8))B) cos(arcsin(x8))Similar to the previous explanation, arcsin(x8) gives us the angle whose sine is x8. Taking the cosine of this angle using cos(θ) will give us the value of the cosine function at that angle.C) 12sin(2arcsin(x8))In this expression, arcsin(x8) is calculated as explained before. Then, multiplying this angle by 2 and taking the sine function of the result gives us the value of the sine function at that angle. Finally, multiplying it by 12 results in the given expression.D) sin(arctan(x8))Now, we have arctan(x8), which represents the inverse tangent function. It gives us the angle whose tangent is x8. Taking the sine of this angle using sin(θ) will give us the value of the sine function at that angle.E) cos(arctan(x8))Similar to the previous explanation, arctan(x8) gives us the angle whose tangent is x8. Taking the cosine of this angle using cos(θ) will give us the value of the cosine function at that angle.Therefore, the matching is as follows:A) tan(arcsin(x8)) corresponds to sin(arcsin(x8))cos(arcsin(x8))B) cos(arcsin(x8))C) 12sin(2arcsin(x8))D) sin(arctan(x8))E) cos(arctan(x8))Remember to substitute the trigonometric functions with the equivalent non-trigonometric functions from the list as mentioned above.

star233 · Accepted Answer

A) tan(arcsin(x/8)) corresponds to the non-trigonometric function D.B) cos(arcsin(x/8)) corresponds to the non-trigonometric function E.C) (12)sin(2arcsin(x/8)) corresponds to the non-trigonometric function B.D) sin(arctan(x/8)) corresponds to the non-trigonometric function B.E) cos(arctan(x/8)) corresponds to the non-trigonometric function A.

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter

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