Final Answer
Step-by-step Solution
Specify the solving method
Simplify $\frac{\sec\left(x\right)^2}{\csc\left(x\right)^2}$ using trig identities
Learn how to solve simplify trigonometric expressions problems step by step online.
$\tan\left(x\right)^2$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sec(x)^2)/(csc(x)^2). Simplify \frac{\sec\left(x\right)^2}{\csc\left(x\right)^2} using trig identities. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2. Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.