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Prove the following Identities (1+sin...

Prove the following Identities
`(1+sin theta-costheta)/(1+ sintheta+costheta)= tan(theta/2)`

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(sin3theta-cos3theta)/(sintheta+costheta)+1 =

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(sintheta+sin2theta)/(1+costheta+cos2theta)=?

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If 0^(@)lethetale90^(@) , then solve the following equations : (i) (costheta)/(1-sintheta)+(costheta)/(1+sintheta)=4 (ii) (cos^(2)theta-3costheta+2)/(sin^(2)theta)=1 (iii) (costheta)/("cosec"theta+1)+(costheta)/("cosec"theta-1)=2

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MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. If x=a sec theta and y=b tan theta, eliminatetheta.

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  2. If tan x = b/a, prove that a cos 2x + b sin 2x=a

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  3. Prove the following Identities (1+sin theta-costheta)/(1+ sintheta+...

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  4. If A+B=45^(@), then (1+ tan A)(1+ tan B)=

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  5. If sin(theta+alpha)=n sin(theta-alpha), prove that cot theta=(n-1)/(n+...

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  6. Find the other five trigonometric ratio if cos theta=- 4/5 , 90^@ lt t...

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  7. Prove that (sin(B-C))/(cosB cosC)+(sin(C-A))/(cosC cosA)+(sin(A-B))/(c...

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  8. Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2...

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  9. If sin(A-B)=1/2 and cos(A+B)=1/2, find A and B.

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  10. If A+B+C=90^@, Prove that cot A+cot B+cot C=cot A cot B cot C

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  11. If A,B,C are angles of a triangle, prove that sin((B+C)/2)="cos"A/2

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  12. Prove that (cos100sin10^0)/(cos10^0-s in 10^0)=tan55^0

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  13. (cos8^(@)+sin8^(@))/(cos8^(@)-sin8^@)=tan5 3^(@;)

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  14. Show that cos(60^@-A) cos(30^@-B)-sin(60^@-A)sin(30^@-B)=sin(A+B)

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  15. Find tha value of tan 4620^@

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  16. Find tha value of cos(-1575^@)

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  17. Find the value of cos((19pi)/3)

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  18. Prove that(sinA + sinB)/(cosA + cosB)= tan((A+B)/2)

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  19. Prove that (sin5A-sin3A)/(cos5A+cos3A)=tan A

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  20. Prove that (sin2A+sin5A-sin A)/(cos2A+cos5A+cos A)=tan2A

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