Question

If teta and two teta - 45 degree are acute angles such that sin teta = cos 2 teta- 45 degree then value of tanteta

Answer 1

The value of theta θ  = 45 °

Step-by-step explanation:

given :

θ  and 2θ -45 are acute angles

sin θ  = cos (2θ  -45 )

now since θ is acute angle , we know that 45 is the only value when sin and cos are equal,

sin 45 = cos 45 = 1/$\sqrt{2}$

that means θ  = 45 °

and

(2 θ -45) = 2*45 -45   =  45 °.