Question

if tan(theta) = cot(theta) then find 2 Tan(theta) + cos 2theta) = ?

Answer 1

Answer:

Tan (theta) = cot (theta) [ Given ]

But tan (theta) and cot (theta) are equal only at 45°

Hence, Theta = 45°

So, 2 tan (theta) + cos (2theta)

= 2 × tan 45° + cos (2×45°)

= 2 × 1 + cos 90°

= 2 + 0

= 2 (Ans)