Wednesday

April 23, 2014

April 23, 2014

Posted by **Emily** on Monday, April 2, 2012 at 3:57pm.

prove the identity

- trig -
**Steve**, Monday, April 2, 2012 at 4:18pmdraw a triangle with opposite leg=x, hypotenuse=1

adjacent leg = √(1-x^2)

however, doing it algebraically,

let θ=sin^-1 x

x = sinθ

cos^2 θ + sin^2 θ = 1

cos^2 θ + x^2 = 1

cos^2 θ = 1 - x^2

cosθ = √(1-x^2)

**Related Questions**

trig - Use a ratio identity to find tan(θ) if given the following. sin=6/sq...

calc.- trig substitution - s- integral s 1/ [ (x^4) sq.rt(x^2+9)] i know x=3tanx...

Math - Calculus - The identity below is significant because it relates 3 ...

Trigonometry - Prove the identity sin(x+y+z)+sin(x+y-z)+sin(x-y+z)+ sin(x-y-z...

Math- Trig - 1. Determine the exact value of cos^-1 (pi/2). Give number and ...

Trigonometry desperate help, clueless girl here - 2. solve cos 2x-3sin x cos 2x...

Trigonometry - 1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two ...

Advanced Functions/Trig - Prove the identity: cos^4 x + sin^4 x = 1 - (1/2)sin^2...

Algebra - Which radical expression is in simplified form? a.11y/sq rt 3 b.sq rt ...

trigonometry hlp me - 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y...