Question

Find x the question is given in pic. IT IS RELATED TO TRIGNOMETRY

Answer 1

√3 tan2x = cos60 + sin45 * cos45

√3 tan 2x = 1/2 + 1√2*1/√2

√3 tan2x = 1/2 + 1/2

√3 tan2x = 1

tan2x = 1/√3

tan2x = tan 30°

2x = 30°

x = 15°

Hope it helped you....

Answer 2

To find the value of x we have :

√3 tan 2x = cos 60°+ sin 45° × cos 45°

We know

cos 60° = 1/2 ,

sin 45° = 1/√2,

cos 45° = 1/√2

By putting these values we get :

√3 tan 2x = 1/2 + 1/√2 × 1/√2

√3 tan 2x = 1/2 + 1/2

√3 tan 2x = 2/2

√3 tan 2x =1

tan 2x = 1/√3

We know that tan 30° = 1/√3 .

Hence, tan 2x = tan 30°

tan 2x = tan 30°

2x = tan 30°/ tan

2x = 30°

x = 30/2

x= 15°

We have value of x = 15°.