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If cottheta=3/4 prove that sqrt((secthe...

If `cottheta=3/4` prove that `sqrt((sectheta-cosectheta)/(sectheta+cosectheta))=1/sqrt7` .

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Prove that sqrt((1+costheta)/(1-costheta))=cosectheta+cottheta .

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Prove that sintheta/(1-costheta)=cosectheta+cottheta .

Prove that (1-costheta)/(1+costheta)=(cosectheta-cottheta)^2 .

Prove that sintheta(cosectheta-sintheta)=cos^2theta .

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MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. If sin B=1/2 find the value of 3 cosB-4cos^3B .

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  2. In a right angled triangle ABC, right angled at B, if tan A = 1, then ...

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  3. If cottheta=3/4 prove that sqrt((sectheta-cosectheta)/(sectheta+cosec...

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  4. If tan theta=3/4 , show that sqrt((1-sintheta)/(1+sintheta))=1/2 .

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  5. In triangleABC , right angle at C, if tan A =1/sqrt3. Show that sin A...

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  6. If cosec A = 2 , find the value of 1/(tan A)+(sinA)/(1+cosA).

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  7. If cot B=12/5 Prove that tan^2B-sin^2B=sin^4B.sec^2B .

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  8. If tantheta+(1)/(tantheta)=2 , find the value of tan^2theta+(1)/(tan^2...

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  9. If 3cos theta-4sintheta=2costheta+sintheta find tantheta .

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  10. If sintheta=3/5, evaluate [(costheta-(1/tantheta))/(2cottheta)] .

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  11. What is the value of sina . .

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  12. If A=30^@ verify that :- cos2A= (1-tan^2A)/(1+tan^2A) .

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  13. If A=30^@ verify that :- cos2A= cos^2A-sin^2A .

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  14. If A=30^@ verify that :- cos2A=1-2sin^2A .

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  15. If A=30^@ verify that :- cos2A= 2cos^2A-1 .

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  16. If A=30^@ verify that :- sin3A=3sinA-4sin^3 A .

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  17. If A=30^@ verify that :- cos3A=4cos^3 A-3cosA .

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  18. If A=30^@ verify that :- tanA= sqrt((1-cos^2A)/cos^2A .

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  19. If A=30^@ verify that :- sinA=tanA/ sqrt(1+tan^2A) .

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  20. Evaluate :- 2sin^2 60^@+cot^2 30^@-tan 45^@ .

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