Trigonometric equations tan &#x2061;<!-- ⁡ -->

Trevor Wood 2022-05-22 Answered
Trigonometric equations tan θ sec θ = 3
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Answers (1)

zwichtsu
Answered 2022-05-23 Author has 9 answers
tan θ sec θ = 3 sin θ cos θ 1 cos θ = 3 sin θ 3 cos θ = 1
divide both side to 2
1 2 sin θ 3 2 cos θ = 1 2 sin π 6 sin θ cos π 6 cos θ = 1 2 cos ( π 6 + θ ) = 1 2 π 6 + θ = ± arccos ( 1 2 ) + 2 n π = ± ( π π 3 ) + 2 n π θ = ± 2 π 3 π 6 + 2 n π , n Z  
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