Question

simplify tan(a)/sin (2a)

Answer 1

Answer:

$\frac{sec^2(a)}{2}$

Combine the terms through trigonometric identity and simplify, this should be your answer(not the actual result of the problem, just the simplified expression).

Answer 2

Answer:

Step-by-step explanation:

The rule is generally to reduce anything that isn't a sin(theta) or cos(theta) down to those two.

Givens

Tan(a) = sin(a) / cos(a)

sin(2a) = 2 sin(a)*cos(a)

Solution

Tan(a)/Sin(2a) = sin(a) / cos(a) // 2 sin(a) * cos(a) / 1    Invert and multiply

Tan(a)/Sin(2a) = sin(a) / cos(a) * 2 sin(a) * cos(a)          Cancel and combine

Answer: Tan(a)/sin(2a)  = 1 / (2* cos^2(a))