Question

14. If 5 tane = 4, then the value of (5 sino - 3cos e (5 sin 0+3 cose)" lis (1) (2) In in 2011 10

11th - 12th Class

Maths

Solution

188

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14. (1) ( 5 tan theta=4 ) ( Rightarrow tan theta=frac{4}{5} ) ( therefore frac{5 sin theta-3 cos theta}{5 sin theta+3 cos theta} ) ( =frac{frac{5 sin theta-3 cos theta}{cos theta}}{frac{5 sin theta+3 cos theta}{cos theta}} ) ( =frac{5 tan theta-3}{5 tan theta+3}=frac{5 times frac{4}{5}-3}{5 times frac{4}{5}+3} ) ( =frac{4-3}{4+3}=frac{1}{7} )