IIT JEE Prepration cool questions Trignometry

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1)if cos⁴A/cos²b +sin⁴A/sin²B =1
prove that cos⁴B/cos²A+sin⁴B/sin²A =1
2)Solve the following equation for x if a is a constant. sin 3a = 4 sin a sin (x + a) sin (x – a)
3) if cosA=tanB,cosB=tanC,cosC=tanA then |sinA|=
(a)sin18
(b)2sin18
(c)sin36
4)If sin A = sin B and cos A = cos B, find the value of A is terms of B.

only 4 questions ?

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so you want me to type the whole book??????

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