Question

Value of cos cos squared theta minus 1 by sec square theta is

Answer 1

The value of $\cos ^2\theta-\dfrac{1}{\sec^2\theta}$ is equal to zero(0).

Step-by-step explanation:

We have,

$\cos ^2\theta-\dfrac{1}{\sec^2\theta}$

To find, the value of $\cos ^2\theta-\dfrac{1}{\sec^2\theta}$ is equal to

∴ $\cos ^2\theta-\dfrac{1}{\sec^2\theta}$

$=\cos ^2\theta-\cos ^2\theta$

Using the trigonometric identity,

$\cos A.\sec A=1$

⇒$\cos A=\dfrac{1}{\sec A}$

$=\cos ^2\theta-\cos ^2\theta$

= 0

∴ The value of $\cos ^2\theta-\dfrac{1}{\sec^2\theta}$ = 0

Thus, the value of $\cos ^2\theta-\dfrac{1}{\sec^2\theta}$ is equal to zero(0).