Tuesday

October 21, 2014

October 21, 2014

Posted by **Anonymous** on Thursday, July 12, 2012 at 11:34am.

Rewrite the expression as an algebraic expression in x. sin(2cos^-1x)

- math -
**Steve**, Thursday, July 12, 2012 at 11:51amsin(v+x) = sinv*cosx + cosv*sinx

sin(v-x) = sinv*cosx - cosv*sinx

subtract to get

2cosv*sinx

sin(cos^-1 x) = √(1-x^2)

by definition, cos(cos^-1 x) = x

sin(2cos^-1 x) = 2sin(cos^-1 x)cos(cos^-1 x)

= 2√(1-x^2) * x

= 2x√(1-x^2)

**Answer this Question**

**Related Questions**

algebra - Can someone please help me do this problem? That would be great! ...

Math - Helle, i need help for simplify the expression: [( cos x) ( sin x) - ( ...

calculus/Trig - Suppose you wish to express sin(3t) in terms of sint and cost. ...

Math - 1. use the suitable product-to-sum formula to rewrite the following ...

Math - Use the cofunction identities to write an expression that is equivalent ...

trig - The expression 4 sin x cos x is equivalent to which of the following? (...

pre calc - Use the sum-to-product formula to simplify the expression: If sin 52...

math - Eliminate the parameter (What does that mean?) and write a rectangular ...

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

math - Rewrite the expression as an algebraic expresion in x: tan(sin−1x)=