Question 94

What is the simplified value of $$sec^4 θ - sec^2 θ tan^2 θ$$ ?

Solution

Expression : $$sec^4 θ - sec^2 θ tan^2 θ$$

= $$sec^2\theta(sec^2\theta-tan^2\theta)$$

$$\because (sec^2\theta-tan^2\theta=1)$$

= $$sec^2\theta(1)=sec^2\theta$$

=> Ans - (B)

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