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Trigonometric Identities

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The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If x sin^(3) theta+ y cos^(3)theta= sin theta cos theta and x sin theta- y cos theta = 0 then (x, y) lie one

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If (x)/(a cos theta)=(y)/(b sin theta) ...(i) and (ax)/(cos theta)- (by )/(sin theta) = a^(2)-b^(2) , then (x, y) lie on

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If tan theta + sin theta=m and tan theta - sin theta=n , then (m^(2)-n^(2))^(2) is

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If sin theta+ cos theta= a and sin^(3)theta+cos^(2) theta=b , then we get lambda a^(3) + mu b+ v a =0 when lambda , mu, v are independent of theta , then the value of lambda^(3)+mu^(3)+v^(3) is

If sin theta=11/61 , ffind the value of cos theta using trigonometric identity.

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Trigonometric and inverse trigonometric functions are differentiable in their respective domain.