Find the value of sin &#x2061;<!-- ⁡ --> ( 2 &#x03B8;<!-- θ --> ) when cot

Jasmin Pineda

Jasmin Pineda

Answered question

2022-06-05

Find the value of sin ( 2 θ ) when cot ( θ ) + tan ( θ ) = 2.5

Answer & Explanation

humbast2

humbast2

Beginner2022-06-06Added 21 answers

cot θ + tan θ = cos θ sin θ + sin θ cos θ = cos 2 θ + sin 2 θ sin θ cos θ = 1 sin θ cos θ = 2 sin 2 θ
Lovellss

Lovellss

Beginner2022-06-07Added 5 answers

HINT:
Note that
cot ( θ ) + tan ( θ ) = 2 sin ( 2 θ )

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