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In triangleABC , right angle at C, if ta...

In `triangleABC` , right angle at C, if tan A =`1/sqrt3`. Show that sin A cos B -cos A sin B =`- 1/2` .

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MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. If cottheta=3/4 prove that sqrt((sectheta-cosectheta)/(sectheta+cosec...

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

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

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

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

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

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

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

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  9. What is the value of sina . .

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

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

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

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

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

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

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

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

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

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  19. Evaluate :- (5sin^2 30^@+cos^2 45^@+4tan^2 45^@)/(2sin30^@ cos60^@+tan...

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  20. Evaluate :- tan60^@/(sec60^@+cosec60^@) .

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