[" 8.यदि "theta=30^(@)" ,तब निम्न को सत्...

[" 8.यदि "theta=30^(@)" ,तब निम्न को सत्यापित करें : "],[[" (i) "sin3 theta=3sin theta-4sin^(3)theta," (ii) "cos3 theta=4cos^(3)theta-3cos theta]]

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Taking theta=30^(@) , verify each of the following (i) sin 3theta=3sin theta -4sin^(3) theta (ii) cos3 theta=4cos^(3)theta-3cos theta

cos^(3)theta sin 3theta + sin^(3)theta cos3theta=3/4

Solve sqrt(3)cos theta-3sin theta=4sin2 theta cos3 theta

Prove that: sin4 theta=4 sin theta cos^(3)theta-4cos theta sin^(3)theta

(3sin theta-sin3 theta)/(3cos theta+cos3 theta)=

(sin theta+sin3 theta+sin5 theta)/(cos theta+cos3 theta+cos5 theta)=tan3 theta

(sin theta+cos theta)(1-sin theta cos theta)=sin^3 theta+cos^3 theta

cos^(3)theta*sin3 theta+sin^(3)theta*cos3 theta=(3)/(4)sin4 theta

(sin3 theta-sin theta)/(cos theta-cos3 theta)=cot2 theta

Prove that: sin theta cos^(3)theta-cos theta sin^(3)theta=(1)/(4)sin4 theta