Wednesday

October 22, 2014

October 22, 2014

Posted by **Matthew** on Tuesday, December 4, 2012 at 4:46pm.

sin(cos^-1 x) -1≤x≤1

- TRIGONOMETRY -
**Steve**, Tuesday, December 4, 2012 at 4:58pmdraw a triangle with adjacent/hypotenuse = x/1

the other leg is √(1-x^2)

so, sin(arccos(x)) = √(1-x^2)

or, if θ = arccos(x), then we have the ubiquitous identity

sin^2θ + cos^2θ = 1

but cosθ = x, so

sin^2θ + x^2 = 1

sin^2θ = 1-x^2

sinθ = √(1-x^2)

**Answer this Question**

**Related Questions**

tRiG/ AlGeBrA - 1) Use double-angle identities to write the following expression...

trig - 1) Use double-angle identities to write the following expression, using ...

precal - use a right triangle to write the expression as an algebraic expression...

Math(Correction) - Use the given function values and trigonometric identities (...

Math(Correction) - Use the given function values and trigonometric identities (...

Math - Use the given function values and trigonometric identities (including ...

Trigonometry - Write the trigonometric expression as an algebraic expression. 1...

Pre Calclulus - Write the trigonometric expression as an algebraic expression. ...

Math(Correction) - Use the given function values and trigonometric identities (...

Trigonometric Expressions - Simplify and write the trigonometric expression in ...