Friday

November 28, 2014

November 28, 2014

Posted by **Anonymous** on Tuesday, October 16, 2012 at 11:03pm.

tan(sin−1x)=

- math -
**Anonymous**, Tuesday, October 16, 2012 at 11:04pmsorry I meant tan(sin^-1 x)=

- math -
**Reiny**, Wednesday, October 17, 2012 at 8:41amsin^-1 x is angle in a right - angled triangle where the opposite side is x and the hypotenuse is 1

let that angle be Ø

so really sin^-1 x ----> sinØ = x/1

so the third side is √(1 - x^2)

then tan(sin^-1 x)

= tan Ø**= x/√(1-x^2)**

check:

e.g. let x = .5

then sin^-1 (.5) = π/6

and tan(π/6) = .57735

according to my answer

tan(sin^-1 (.5)) = .5/√(1-.25) = .57735

all looks good.

**Answer this Question**

**Related Questions**

Trigonometry - rewrite tan(sin^-14v) as an algebraic expression in v

math - simplify the following expression sin(v+x)-sin(v-x)? Rewrite the ...

Trig - Rewrite cos(tan^-1(v)) as an algebraic expression in v. Can someone help ...

math-Trig - 1. Write the algebraic expression which shows Cos((ArcSin(4/X)), 2...

Pre Calculus - Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = ...

Pre Calculus - Use one of the identities cos(t + 2ðk) = cos t or sin(t + 2ðk) = ...

Math-Trig - 1. Create an algebraic expression for sin(arccosx-arcsin3x) 2. The ...

Trig - 4. Asked to simplify the expression sin(180−è), Rory volunteered ...

Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...

Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...