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Prove the following identities: (tanthe...

Prove the following identities: `(tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta`

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Prove the following identities: (tan theta-cot theta)/(sin theta cos theta)=sec^(2)theta-cos ec^(2)theta=tan^(2)theta-cot^(2)theta

Prove the following identities: (sin theta)/(1-cos theta)+(tan theta)/(1+cos theta)=sec theta cos ect+cot theta

Prove the following identity: (1+cot theta-cos ec theta)(1+tan theta+sec theta)=2

Prove the following identities: tan^(2)theta+cot^(2)theta+2=sec^(2)theta cos ec^(2)theta

Prove the following identities: (sec-tan theta)/(sec theta+tan theta)=1-2sec theta tan theta+2tan^(2)theta

Prove the following identity: ((1+cot theta+tan theta)(s/h eta-cos theta))/(sec^(3)theta-cos ec^(3)theta)=sin^(2)theta cos^(2)theta

Prove the following identities: (cos ec theta-sin theta)(sec theta-cos theta)(tan theta+cot theta)=1

Prove the following identities: (1-cos theta)/(1+cos theta)=(cos ec theta-cot theta)^(2)

Prove the following identities: (tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

Prove the following identities: (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=2sec theta

CBSE COMPLEMENTARY MATERIAL-INTRODUCTION TO TRIGONOMETRY-SHORT ANSWER TYPE QUESTIONS
  1. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

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  2. Prove 1/(secx-tanx)-1/(cosx)=1/(cosx)-1/(secx+tanx)

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  3. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=se...

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  4. Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(...

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  5. secA(1-sinA)(secA+tanA)=1

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  6. If tantheta+sintheta=m and tantheta-sintheta=n, then prove that: m^(2)...

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  7. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

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  8. If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

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  9. Without using trigonometric table, the value of cotthetatan(90^(@)-t...

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  10. Prove that : (cot(90^(@)-theta))/(tantheta)+("cosec"(90^(@)-theta)sint...

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  11. Without using trigonometric tables, evaluate each of the following: (...

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  12. If A, B, C are the angles of DeltaABC then prove that "cosec"^(2)((B+C...

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  13. Find the value of sec^(2)10^(@)-cot^(2)80^(@)+(sin15^(@)cos75^(@)+cos1...

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  14. Prove the following identities: (tantheta-cottheta)/(sinthetacostheta...

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  15. If sintheta+costheta=sqrt2costhetathen costheta-sintheta is equal to

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  16. Evaulate : 4-(sin30^(@)+tan45^(@)-"cosec"60^(@))/(sec30^(@)+cos60^(@)+...

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  17. Prove that : 1-(sinAsin(90^(@)-A))/(cot(90^(@)-A))=sin^(2)A

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  18. i) If acostheta+bsintheta=m and asintheta-bcostheta=n, then prove that...

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  19. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

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  20. Without using trigonometric tables, evaluate each of the following: (...

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