1.

Find the value of \(x\), if tan 3\(x\) = sin 45° cos 45° + sin 30°

Answer»

Tan 3\(x\) = sin 45° cos 45° + sin 30°

\(\frac{1}{\sqrt2}\times\frac{1}{\sqrt2}+\frac12\) = \(\frac12+\frac12+1\)

⇒ tan 3\(x\) = tan 45° ⇒ 3\(x\) = 45° ⇒ \(x\) = 15°



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