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If 6 sin theta + 7 cos theta =9 , then tan theta ?Then find the value of 7cos theta -6 sin theta |
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Answer» Answer: given 6 sin theta + 7 cos theta =9(equation 1) let us assume 7 cos theta - 6 sin theta=K(equation 2) 0 squaring and ADDING on both sides of equation 1 and 2 (6 sin theta+7 cos theta)^2+ (7 cos theta _ 6 sin theta)^2=9^2+k^2 36 sin^2theta+9 cos square theta + 84 sin theta cos theta + 49 sin ^2 theta + 36 cos^2theta -86 sin theta cos theta=81+k^2 85 sin^2theta + 85 cos^2 theta is equals to 81 + k ^2 85(sin^2 theta + cos^2theta)=81+k^2 85(1)=81+k^2 85=81-k^2 85-81=k^2 4=k^2 2=k 4=k |
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