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

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

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Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta

Prove that (sin^(4)theta-cos^(4)theta)/(sin^(2)theta-cos^(2)theta)=1

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

Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

Prove that sin^(4)theta+cos^(4)theta=1-(1)/(2)sin^(2)2 theta=(1)/(2)(1+cos^(2)2 theta)

Prove that 2cos^(2)theta-cos^(4)theta+sin^(4)theta=1

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

Prove that: 1+cos^(2)2 theta=2(cos^(4)theta+sin^(4)theta)

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

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

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  20. Prove that : sqrt((1+cosA)/(1-cosA))+sqrt((1-cosA)/(1+cosA))=2 "cosec...

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