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Exercise

$\frac{\left(sin\:2x\right)}{\:sin\:\left(\left(\frac{\pi\:}{2}\right)-\:x\right)}$

Step-by-step Solution

1

Using the sine double-angle identity: $\sin\left(2\theta\right)=2\sin\left(\theta\right)\cos\left(\theta\right)$

$\frac{2\sin\left(x\right)\cos\left(x\right)}{\sin\left(\frac{\pi }{2}-x\right)}$
Why does sin(2x) = 2sin(x)cos(x) ?

Final answer to the exercise

$\frac{2\sin\left(x\right)\cos\left(x\right)}{\sin\left(\frac{\pi }{2}-x\right)}$

Try other ways to solve this exercise

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  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
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  • Product of Binomials with Common Term
  • FOIL Method
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Similar Questions Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

$1+cot^2x$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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