1. If cos A = PC VULSTIUINS 5 sin A...
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1. If cos A = PC VULSTIUINS 5 sin A+ 3sec A-3tan A evaluate 4cot A+4cos ecA+5 cos A men -0.

JEE/Engineering Exams
Maths
Solution
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( cos A=3 / 5 quad sec A=5 / 3 ) ( sin A=sqrt{1-9 / 25}=sqrt{frac{16}{25}=4 / 5} operatorname{cosec} A=5 / 4 ) ( tan A=frac{4 / 5=4}{3 / 5}=frac{4}{3} cot A=3 / 4 ) ( sin frac{5 sin A+3 sec A-3 tan A}{4 cos A+4 operatorname{cosec} A+5 cos A} ) ( =frac{8 times 4 / 5+3 times 5 / 3-7 times 4 / 3}{4 times 3 / A+4 / X 5 / 4+5 times 3 / 5}=frac{4+5-4}{3+5+3} ) ( =frac{5}{11}=sqrt{20} )
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