Question

निम्न में x का मान ज्ञात कीजिए:
3 tan 2x = sin 30° + sin 45° cos 45° + 2sin 90°​

Answer 1

Solution

3 tan 2x =sin30°+sin 45°cos 45°+2 sin 90°

=>3 tan 2x =0.5+(1√2)(1/√2)+2(1)

=>3 tan 2x =0.5+0.5+2

=>3tan 2x=3

=>tan 2x=1

=>tan 2x=tan 45° [as,tan 45°=1]

=2x=45°

=>X=22.5°

Answer 2

3tan2x=1/2+1/√2×1/√2+2×1

3tan2x=1/2+1/2+2

3tan2x=1+1/2+2

3tan2x=2/2+2

3tan2x=1+2

3tan2x=3

tan2x=3/3

tan2x=1

tan2x=tan45

2x=45

x=45/2