if cos (40°-X)=30sin find the value of X
Asked by lavanyasureshkumar
| 24th Aug, 2020,
04:02: PM
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°
∴sin30° = sin(90°-60°) =cos60°
∵cos(40°+x) = sin30°... given
⇒cos(40°+x) = cos60°
⇒40°+x = 60°
Answered by Yasmeen Khan
| 25th Aug, 2020,
12:25: PM
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