Posted by **David M.** on Wednesday, May 12, 2010 at 11:37pm.

Usa a right triangle to write each expression as an algebraic expression. Assume the referenced angle is theta, and x is positive and in the domain of the given inverse trig. function. Label the triangle.

1. sec^sq(tan^-1x)

2. sin(arccot x/(sqrt)1-x^2)

- Trigonometry -
**drwls**, Thursday, May 13, 2010 at 6:57am
1. If you mean sec^2[tan^-1x], use the fact that

sec (tan^-1x)= sqrt(x^2+1)/sqrt(1).

Imagine a right triangle with sides x, 1 and sqrt(1+x^2). Side x is opposite the angle with tangent equal to x.

Square the secant and you get x^2 + 1

2. For the angle in question, as part of a right triangle:

adjacent side (not hypotentuse) = x

opposite side = sqrt(1-x^2)

hypotenuse = 1

sin = sqrt(1-x^2)

The last line is your answer.

## Answer this Question

## Related Questions

- precal - use a right triangle to write the expression as an algebraic expression...
- math please help - use an inverse trig function to write theta as a function of ...
- Trigonometry - I can't figure out the answer to this problem Use a right ...
- trigonometric functions - im compeletely lost with the trigonometric functions...
- Evaluation-repost - Reposting because it has gone down to the second page! ...
- trig - use an inverse trig function to write è as a function of x (There is a ...
- Pre-Calc - Write an algebraic expression that is equivalent to the expression (...
- TRIGONOMETRY - Write the following trigonometric expression as an algebraic ...
- inverse trig function - How do I do this by sketching a triangle. sin( arcsin(1/...
- algebra 1 - write an algebraic expression that could be used to represent the ...