if tan 3 theta is equal to sin 45 cos 45 + sin 30 find the value of theta
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Answer:
Theta = 15°
Step-by-step explanation:
let theta = x
According to question,
Tan3x = sin45cos45 + sin30
Tan3x = 1÷√2 × 1÷√2 + 1÷2
Tan3x = 1÷2 + 1÷2
Tan3x = 1 = Tan45
Therefore,
Tan45 = Tan 3x
By comparing,
3x = 45
x = 15
Therefore theta = 15°
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