Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Rewrite $\tan\left(x\right)+\cot\left(x\right)$ in terms of sine an cosine
Learn how to solve trigonometric identities problems step by step online.
$\left(\tan\left(x\right)+\cot\left(x\right)\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (tan(x)+cot(x))^2=sec(x)^2+csc(x)^2. Starting from the left-hand side (LHS) of the identity. Rewrite \tan\left(x\right)+\cot\left(x\right) in terms of sine an cosine. The reciprocal sine function is cosecant: \frac{1}{\sin(x)}=\csc(x). Any expression multiplied by 1 is equal to itself.