Question

Find the value of x in tan 3x= sin 45º cos 45º + sin 30°.

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x = 15

Step-by-step explanation:

The given Equation is

tan 3x = sin 45°cos 45° + sin 30°

tan 3x = ($\frac{1}{\sqrt[]{2} }$)($\frac{1}{\sqrt[]{2} }$)+$\frac{1}{2}$  [ sin 45° = $\frac{1}{\sqrt{2} }$ ; cos 45° = $\frac{1}{\sqrt[]{2} }$ ; sin 30° = $\frac{1}{2}$]

tan 3x = 1

tan 3x = tan 45° [ tan 45° = 1]

3x = 45

x = 15