Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$
Learn how to solve trigonometric identities problems step by step online.
$1+\sec\left(x\right)^2\sin\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 1+sec(x)^2sin(x)^2=sec(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right)^2. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}.