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Prove that : sec^(2)theta+"cosec"^(2)th...

Prove that : `sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)theta`

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Prove that: sec^(2)theta+"cosec"^(2)theta=sec^(2)thetaxx"cosec"^(2)theta.

Prove that (i) sec^(2) theta + "cosec"^(2) theta = sec^(2) theta "cosec"^(2) theta (ii) tan^(2) theta - sin^(2)theta = tan^(2)theta sin^(2)theta (iii) tan^(2) theta + cot^(2)theta +2 = sec^(2) theta "cosec"^(2) theta

sec^2theta/(cosec^(2)theta) =

sec^(2)theta+csc^(2)theta=sec^(2)theta xx cos e^(2)theta

tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta

Prove that: sec^(2)theta+csc^(2)theta>=4

Prove that (cosec^(2)theta+sec^(2)theta)/(cosec^(2)theta-sec^(2)theta)=(1+tan^(2)theta)/(1-tan^(2)theta)

1/sec^2theta+1/(cosec^(2)theta)=

Solve , sec^(2)theta+cosec^(2)theta=8

prove that: tan^(2) theta-cot^(2) theta=sec^(2) theta- cosec^(2) theta

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : (1-tan^(2)theta)/(cot^(2)theta-1)=tan^(2)theta

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  2. Prove that : (sectheta-tantheta)^(2)=(1-sintheta)/(1+sintheta)

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  3. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

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  4. Prove that : (sinA+cosA)^(2)+(sinA-cosA)^(2)=2

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  5. Prove that : sin^(4)theta-cos^(4)theta=2sin^(2)theta-1

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  6. Prove that : (i) (1-cosA)/(sinA)=(sinA)/(1+cosA) (ii) ...

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  7. Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2secthe...

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  8. Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec...

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  9. Prove that : (i) (1)/(1-cosA)+(1)/(1+cosA)=2"cosec"^(2)A " " (...

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  10. Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2se...

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  11. Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

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  12. Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cott...

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  13. Prove that : (secA+1)/(tanA)=(tanA)/(secA-1)

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  14. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

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  15. Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

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  16. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

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  17. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

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  18. If x=acostheta-bsinthetaandy=asintheta+bcostheta, then show that : ...

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  19. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

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  20. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

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