State whether the following are true or false. Justify your answer.

sin θ = cos θ for all values of θ.

Dear Student

The answer is False

sin θ = cos θ,
when a right triangle has 2 angles of (π/4).
Lets take an example.
forθ=0,
sin θ =0 whilecos θ=1.
Therefore, theabove statement is false.

Thanks