Question

Illustration 2.6 seca. If tan 0 + sec 0 = 1.5, find sin 0, tan , and

JEE/Engineering Exams

Maths

Solution

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( tan theta+sec theta=1 cdot 5 ) ( tan theta+sec theta=frac{15}{10}=3 / 2 ) ( (tan theta+sec theta)(tan theta-sec theta)=3 / 2(tan theta-sec theta) ) ( tan ^{2} theta-sec ^{2} theta=3 / 2(tan theta-sec theta) ) ( -1=3 / 2(tan theta-8 operatorname{ccos}) ) [ tan theta-sec theta=-2 / 3 ] ( operatorname{eqn}(1)+(2) )