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Exercise

$\frac{1}{tanxcotx}=sinxcosx$

Step-by-step Solution

1

Applying the trigonometric identity: $\tan\left(\theta \right)\cot\left(\theta \right) = 1$

$1=\sin\left(x\right)\cos\left(x\right)$
2

Simplify $\sin\left(x\right)\cos\left(x\right)$ using the trigonometric identity: $\sin(2x)=2\sin(x)\cos(x)$

$1=\frac{\sin\left(2x\right)}{2}$
3

Multiply both sides of the equation by $2$

$\sin\left(2x\right)=2$
4

This equation has no solutions in the real plane

$No solution$

Final answer to the exercise

$No solution$

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Similar Questions Solved

$2\cos^2x-1=0$

$2\sin^2x-1=0$

$2cos^2x-1=0$

$2\sin\left(x\right)-1=0$

$2\sin\left(x\right)=\sqrt{3}$

$2\sin\left(x\right)+\sqrt{3}=0$

$\tan\left(x\right)+\sqrt{3}=0$

Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.

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