Question

IF THETA AND 2 THETA - 45 DEGREE ARE THE ACUTE ANGLES SUCH THAT SIN THETA = COS ( 2 THETA - 45 DEGREE ) THEN FIND THE VALUE OF TAN THETA CAN ANYONE GIVE A STEP BY STEP EXPLANATION TO THE QUESTION ??

Answer 1

Answer:

∅ = 45 degrees.

Step-by-step explanation:

∅, 2∅-45 are acute angles.

and sin∅ = cos(2∅-45)

Therefore, ∅ and 2∅-45 are complementery angles.

So,   ∅ + 2∅ - 45 = 90

         =>  3∅ =  135

         =>   ∅ = 45 degrees.