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Prove that (sin theta + "cosec" theta)...

Prove that
`(sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) theta).`

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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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