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Prove that: (sin(A+B)+"sin"(A-B))/(cos(A...

Prove that: `(sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A`

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MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Prove that:cos420^@ sin390^@+ sin(-300^@)cos(-330^@)=1

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  2. Prove that: ("sin"(A-B))/(s in A s in B)+("sin"(B-C))/(s in B s in C)+...

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  3. Prove that: (sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A

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  4. (sinA+sin3A)/(cosA+cos3A)=tan2A

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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