If cot theta = - 2 and cos theta < 0, find sin theta

Carsen Oneill

Carsen Oneill

Answered question

2023-02-05

If cot θ = - 2 and cos θ < 0 , find sin θ

Answer & Explanation

veitigaq

veitigaq

Beginner2023-02-06Added 5 answers

cot 2 ( θ ) = ( - 2 ) 2
1 + ( - 2 ) 2 = csc 2 ( θ )
5 = csc 2 ( θ )
sin 2 ( θ ) = 1 5
sin 2 ( θ ) = 1 5
sin ( θ ) = ± 5 5
Answer is sin ( θ ) = 5 5

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