Question

11. If tan 0 = root 2 - 1, then find the value of 2 tan theta divided by 1 plus tan square theta

Answer 1

Step-by-step explanation:

tanθ+cotθ=2

Squaring both sides;

(tanθ+cotθ)

2

=2

2

⇒tan

2

θ+cot

2

θ+2tanθcotθ=4

⇒tan

2

θ+cot

2

θ+2=4

⇒tan

2

θ+cot

2

θ=2