Question

Find the value of
x if √3 tan²x = cos60° + sin45°.cos45°​

Answer 1

ANSWER: 15

STEPS:

root3(tan2x) = cos60 + sin45 + cos45

= 1/2 + (1/root2 x 1/root2)

= 1/2 + 1/2

= 2/2

= 1

So,

root3(tan2x) = 1

tan(2x) = 1/root3

tan30 = 1/root3

Therefore,

2x = 30

x = 15

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