Question

find the value of x. √3tan2x=sin30°+ sin45°cos45°+2sin90°

Answer 1

tan3x = sin45°cos45° + sin30°

= (1/√2)×(1/√2) + 1/2

= 1/2 + 1/2

= 1

tan 45° = 1

so, 3x = 45

⇒x = 15°

Answer 2

1/2+1/2+2=3=root3(tan2x).. tan2x=root3
2x=60.. x=30