If tan 3x = sin 45° cos 45° + sin 30°, then find value of x.
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GIVEN :
- tan 3x = sin 45° cos 45° + sin 30°, then find value of x.
TO FIND :
- Value of x = ?
SOLUTION :
⇛tan 3x = sin 45° cos 45° + sin 30°
⇛tan 3x = 1/√2 × 1/√2 + 1/2
⇛tan 3x = 1/2 + 1/2
⇛tan 3x = tan 45°
⇛3x = 45°
⇛x = 15°
Therefore, the value of x is 15°.
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