Q74 of 76 Page 52

True and False
If tan θ + tan 2θ + tan θ tan 2θ = , then

True

Explanation:

We have, tan θ + tan 2θ + tan θ tan 2θ =

_⇒ tan θ + tan 2θ = -√3 tan θ tan2θ +√3

_⇒ tan θ + tan 2θ = √3(1- tan θ tan2θ)

⇒ tan(θ +2θ )=√3

True and False

One value of θ which satisfies the equation sin⁴θ – 2sin²θ – 1 lies between 0 and 2π.

True and False

If cosec x = 1 + cot x then

True and False

If tan(π cos θ) = cot (π sin θ), then

In the following match each item given under the column C₁ to its correct answer given under the column C₂:

True and FalseIf tan θ + tan 2θ + tan θ tan 2θ = , then