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Solve (sin∅+cos∅/ sin∅-cos∅)=(3/2) for 0⁰<∅<360⁰

The answer is "78.7⁰ or 259⁰" but I don't know the steps. Please teach me the steps and I wish whoever see this to have a happy new year​

Solve (sin∅+cos∅/ sin∅-cos∅)=(3/2) for 0⁰<∅<360⁰ The answer is "78.7⁰ or-example-1
User Pmk
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1 Answer

10 votes

let angle=X

(sin x + cos x)/(sin x - cos x) = 3/2

cross multiply

Solve (sin∅+cos∅/ sin∅-cos∅)=(3/2) for 0⁰<∅<360⁰ The answer is "78.7⁰ or-example-1
User Finglish
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5.3k points