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.
$\frac{\cos\left(x\right)}{\sec\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x)/sec(x)=cos(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)}. Divide fractions \frac{\cos\left(x\right)}{\frac{1}{\cos\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Since we have reached the expression of our goal, we have proven the identity.