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Prove: (cos e c\ theta-sectheta)(cotthet...

Prove: `(cos e c\ theta-sectheta)(cottheta-tantheta)=(cos e c\ theta+sectheta)(secthetacos e c\ theta-2)\ `

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((cosectheta-sectheta)(cottheta-tantheta))/((cosectheta+sectheta)(sectheta.cosectheta-2))=?

(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=sectheta"cosec"theta+1

Prove that : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta" cosec "theta

Prove that : (tan theta)/(sectheta+1)-(tantheta)/(1-sectheta)=2cosec theta

tan^(2)theta=1-e^(2) , then sectheta+tan^(3)theta.cosectheta=?

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

int(sectheta)/(sec theta+tantheta)d theta=

(i) (sec theta-cos theta)(cosectheta-"sin"theta)=(1)/("tan"theta+cottheta) (ii) ("sin"theta+sectheta)^(2)+(costheta+cosectheta)^(2)=(1+secthetacosectheta)^(2)

Prove that : (sintheta)/(sectheta+tantheta-1)+(costheta)/("cosec"theta+cottheta-1)=1

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

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  2. Prove: (1+cotA-cos e c\ A)(1+tanA+secA)=2

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  3. Prove: (cos e c\ theta-sectheta)(cottheta-tantheta)=(cos e c\ theta+se...

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  4. Prove: (secA-cos e c\ A)(1+tanA+cotA)=tanAsecA-cotA cos e c\ A .

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  5. (cosAcosecA-sinAsecA)/(cosA+sinA)=cosecA-secA

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  6. Prove: (sinA)/(secA+tanA-1)+(cosA)/(cos e c\ A+cotA-1)=1

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  7. Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

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  8. Prove: sec^4A(1-sin^4A)-2tan^2A=1

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  9. Prove: (cot^2A(secA-1))/(1+sinA)=sec^2A((1-sinA)/(1+secA))

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  10. Prove: sin^2Acos^2B-cos^2Asin^2B=sin^2A-sin^2B

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  11. Prove: (cotA+tanB)/(cotB+tanA)=cotAtanB

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  12. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

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  13. Prove: cot^2A cos e c^2B-cot^2B cos e c^2A=cot^2A-cot^2B .

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  14. Prove: tan^2Asec^2B-sec^2Atan^2B=tan^2A-tan^2B

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  15. If 3sintheta+5costheta=5 , show that 5sintheta-3costheta=+-3

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  16. If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove ...

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  17. If cosA+cos^2A=1, find the value of sin^2A+sin^4A.

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  18. Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthet...

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  19. Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...

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  20. Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costhe...

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