Question

If 5 cos A = 3, the value of sec² A − tan² A is ______.

Options

• 1

• −1

• `3/4`

• `4/3`

Answer 1

If 5 cos A = 3, the value of sec² A − tan² A is 1.

Explanation: According to the fundamental trigonometric identity, sec² A − tan² A = 1 for any angle A. The given equation 5cos A = 3 is extra information that is not needed since the identity holds true independently of the angle value.