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

Prove that `sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta))=2sectheta`

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Prove that: sqrt((1-sintheta)/(1+s intheta))+sqrt((1+sintheta)/(1-s intheta)=){2/(costheta),if0lt=theta

Prove that sqrt((1+sintheta)/(1-sin theta))=sectheta+tantheta .

Prove that: sqrt((1-sintheta)/(1+sintheta))=sectheta -tan theta .

If theta lies in the second quadrant, then the value sqrt(((1-sintheta)/(1+sintheta)))+sqrt(((1+sintheta)/(1-sintheta)))

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

For pi/2

Find the value of sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sintheta)/(1-sintheta)) .

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta

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

MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Show that sin^2 36^@+sin^2 54^@=1

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  2. Show that sin^2 46^@+sin^2 44^@=1.

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

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  4. Prove thatsqrt((cosec theta+cottheta)/(cosec theta-cottheta))=(sin the...

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

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  6. Prove that cosec^2theta+sec^2theta=(sec^2theta)/(sin^2theta)

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  7. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=

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  8. Prove that cos(120^@-A)+cosA+cos(120^@+A)=0.

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  9. Prove that tan(45^@-theta)=(cos theta-sin theta)/(cos theta + sin thet...

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  10. Prove that tan(pi/4+theta/2)=sec theta+tan theta

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  11. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

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  12. If A+B+C=pi, prove that sin 2A+sin 2B-sin 2C=4 cos A cos B sin C

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  13. If A+B+C=pi, prove that tan A+tan B+tan C= tanA tan B tan C

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  14. If A+B+C=pi/2, prove that tan A tan B+tan B tan C+tan C tan A=1

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  15. If A+B+C=pi, prove that: "sin" A+"sin" B-"sin" C=4 "sin"(A)/(2)"sin...

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  16. If A+B+C=pi and cos A=cos B. cosC,prove that cot B cot C=1/2

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  17. Express sin 6theta+sin3theta as a product.

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  18. Evaluate using multiple angle formula: sin15^@

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  19. Evaluate using multiple angle formula: cos15^@

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  20. Evaluate using multiple angle formula: tan15^@

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