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If 5tan theta = 4,find the value of 5sin theta - 3 cos theta /5sin theta +2 cos theta. |
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Answer» Answer: 5 tan theta=4 So tan theta=4/5 therefore, SIN theta/cos theta = 4/5 Hence we can say that, sin theta= 4x , cos theta= 5x So, (5 sin theta - 3 cos theta)/(5 sin theta+ 2 cos theta) = (20x-15x)/(20x+10x) = 5x/30x=1/6 Step-by-step explanation: GIVEN that , 5 tan theta = 4 tan theta = 4/5 We know that tan theta = Sin theta/Cot theta Say X Sin theta = 4x Cos theta = 5x Evaluate the values of LHS Side \frac{5 \ Sin\theta - 3\ Cos\theta}{5\ Sin\theta + \ 2Cos\theta} => \frac{(5 * 4 )- (3 * 5) }{(5 * 4) + (2 * 5)} => \frac{20 -15}{20+ 10} => \frac{5}{30} => \frac{1}{6} hope you find it easy plz mark me as brainliest..... |
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