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CBSE Class 10 Answered

if cos (40°-X)=30sin find the value of X
Asked by lavanyasureshkumar | 24 Aug, 2020, 04:02: PM
answered-by-expert Expert Answer
Question: cos (40°-X)=sin30°
 
 We know that, sin(90° - θ) = cosθ

∴sin30° = sin(90°-60°) =cos60°
∵cos(40°+x) = sin30°... given
⇒cos(40°+x) = cos60°
⇒40°+x = 60°
⇒ x = 20°

Answered by Yasmeen Khan | 25 Aug, 2020, 12:25: PM

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