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Prove that (cosx +cosy)^2+(sinx+siny)^2=...

Prove that `(cosx +cosy)^2+(sinx+siny)^2=4cos^2((x-y)/2)`

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MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. (sinA+sin3A)/(cosA+cos3A)=tan2A

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  2. Prove that: (sinA+sinB)/(sinA-sinB) = tan(A+B)/(2). Cot(A-B)/(2)

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  3. Prove that (cosx +cosy)^2+(sinx+siny)^2=4cos^2((x-y)/2)

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  4. Solve for theta,(0^@ le theta le 360^@) 2sin^2theta+3 costheta=0

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  5. Solve for theta,(0^@ le theta le 360^@) cos theta +sqrt3 sin theta=0

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  6. Find the principal and general solutions of the equation sin x=sqrt3/2

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  7. Find the principal and general solutions of the equation tan x=-1/sqrt...

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  8. Find the principal and general solution of s e c x = 2

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  9. Find the principal and general solutions of the equation sec x=-sqrt2

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  10. Find the principal and general solutions of the equationsqrt2 cos x=1

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  11. Find the principal and general solutions of the equationsqrt2 sin x+1=...

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  12. Find the principal and general solutions of the equation2 cos^2 x- 3 c...

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  13. Find the principal and general solutions of the equation cot x-tan x=2

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  14. Find the principal and general solutions of the equation sec 4x- sec 2...

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  15. Find the principal and general solutions of the equation sin x+ cos x=...

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  16. Solve 2 cos^2 x-3 sin x=0

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  17. Solve tan^2 x= 3 cos ec^2 x-1

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  18. Solve 2cos^2 x+3 cos x-2=0

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  19. General solution of tan((pi)/(4)+x)+tan((pi)/(4)-x)=4 is

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  20. Solve cos^3 x sin 3x + sin 3x cos x=3/4

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