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Kenley Wagner

Kenley Wagner

Answered question

2022-05-29

Solve, in the interval 0 θ 360
cos ( θ + 25 ) + sin ( θ + 65 ) = 1

Answer & Explanation

Ismael Blackwell

Ismael Blackwell

Beginner2022-05-30Added 7 answers

cos ( θ + 25 ) + sin ( θ + 65 ) = 1
cos ( θ + 25 ) + cos ( 25 θ ) = 1
cos ( θ + 25 ) + cos ( θ 25 ) = 1
2 cos θ cos ( 25 ) = 1
cos θ = ( 1 / 2 ) sec 25
θ ~ 57 degrees, 303 degrees

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