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# Trigonometry Calculator

## Get detailed solutions to your math problems with our Trigonometry step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Solved example of trigonometry

$cscx-cotxcosx=sinx$
2

Starting from the left-hand side (LHS) of the identity

$\csc\left(x\right)-\cot\left(x\right)\cos\left(x\right)$
3

Apply the trigonometric identity: $\displaystyle\cot(x)=\frac{\cos(x)}{\sin(x)}$

$\csc\left(x\right)+\frac{-\cos\left(x\right)}{\sin\left(x\right)}\cos\left(x\right)$

Multiplying the fraction by $\cos\left(x\right)$

$\csc\left(x\right)+\frac{-\cos\left(x\right)\cos\left(x\right)}{\sin\left(x\right)}$

When multiplying two powers that have the same base ($\cos\left(x\right)$), you can add the exponents

$\csc\left(x\right)+\frac{-\cos\left(x\right)^2}{\sin\left(x\right)}$
4

Multiplying the fraction by $\cos\left(x\right)$

$\csc\left(x\right)+\frac{-\cos\left(x\right)^2}{\sin\left(x\right)}$
5

Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$

$\frac{1}{\sin\left(x\right)}+\frac{-\cos\left(x\right)^2}{\sin\left(x\right)}$
6

The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors

$L.C.M.=\sin\left(x\right)$
7

Combine and simplify all terms in the same fraction with common denominator $\sin\left(x\right)$

$\frac{1-\cos\left(x\right)^2}{\sin\left(x\right)}$
8

Apply the trigonometric identity: $1-\cos\left(x\right)^2$$=\sin\left(x\right)^2$

$\frac{\sin\left(x\right)^2}{\sin\left(x\right)}$
9

Simplify the fraction $\frac{\sin\left(x\right)^2}{\sin\left(x\right)}$ by $\sin\left(x\right)$

$\sin\left(x\right)$
10

Since we have reached the expression of our goal, we have proven the identity

true

##  Final Answer

true

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