SOLUTION: Write the expression as an algebraic expression in x for x > 0. 3 sin(tan^&#8722;1 x) Write the expression as an algebraic expression in x for x

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Question 929018: Write the expression as an algebraic expression in x for x > 0.
3 sin(tan^−1 x)
Write the expression as an algebraic expression in x for x > 0.
3 tan(arccos x)
Write the expression as an algebraic expression in x for x > 0.
sec (sin^−1 x/ SquareRoot of(x^2 + 64)

Answer by lwsshak3(11628) (Show Source):
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Write the expression as an algebraic expression in x for x > 0.
3 sin(tan^−1 x)
tanu=x/1(hypotenuse=√(x^2+1)
3sinu=3(x/√(x^2+1))
..
Write the expression as an algebraic expression in x for x > 0.
3 tan(arccos x)
cosu=x
sinu=√(1-cos^2(u))=√(1-x^2)
3tanu=cos/sin=x/(√(1-x^2)
..
Write the expression as an algebraic expression in x for x > 0.
sec (sin^−1 x/ SquareRoot of(x^2 + 64)
sinu=x/√(x^2+64)
cosu=√(1-sin^2(u))=√(1-((x^2/(x^2+64))=64/(x^2+64)
secu=1/cosu=(x^2+64)/64

SOLUTION: Write the expression as an algebraic expression in x for x > 0. 3 sin(tan^&#8722;1 x) Write the expression as an algebraic expression in x for x > 0. 3 tan(arccos x) Write

SOLUTION: Write the expression as an algebraic expression in x for x > 0. 3 sin(tan^−1 x) Write the expression as an algebraic expression in x for x > 0. 3 tan(arccos x) Write