Question

iF THETA IS A POSITIVE ACUTE ANGLE AND TAN 3 THETA = COT(60- THETA), THEN FIND THE VALUE OF SIN 3 THETA, PLS HELP I NEED IT RIGHT NOW I WILL MARK BRRAINLIEST

Answer 1

SOLUTION

GIVEN

θ is positive acute angle and

tan 3θ = cot ( 60° - θ )

TO DETERMINE

The value of θ

EVALUATION

Here it is given that θ is positive acute angle and tan 3θ = cot ( 60° - θ )

Now

tan 3θ = cot ( 60° - θ )

⇒ cot ( 90° - 3θ ) = cot ( 60° - θ )

⇒ ( 90° - 3θ ) = ( 60° - θ )

⇒ - 3θ + θ = 60° - 90°

⇒ - 2θ = - 30°

⇒ θ = 15°

FINAL ANSWER

θ = 15°

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