Question

what are the steps to solve this problem?
Write each trigonometric expression as an algebraic expression in x
1)sin(tan^-1x)
2)tan(cos^-1x)

Answer 1

Draw a right triangle

Answer 2

If we let \(\Large \theta = \tan^{-1}(x)\) then \(\Large \tan(\theta) = x = \frac{x}{1}\)

because tangent = opposite/adjacent, we can add these labels



making sense so far?

Answer 3

yup :)

Answer 4

what is the length of the hypotenuse?

Answer 5

r=1^2+x^2
so x^2?

Answer 6

close, but the square root of 1^2+x^2 or the square root of 1+x^2