#### If tan 3x = sin 45° cos 45° + sin 30°, find the value of x.

**Answer** :

tan 3x = sin 45° cos 45° + sin 30°

= (1/√2 × 1/√2) + ½

= ½ + ½

= 1

tan 3x = tan 45°

3x = 45°

x = 45/3 = 15°

Hence, the value of x is 15°.

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