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Verify:a.Sin60^@=(2tan30^@)/(1+tan^2 30^...

Verify:a.`Sin60^@=(2tan30^@)/(1+tan^2 30^@)`

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Explore conceptually related problems

Choose the correct option and justify your choice:(i) (2 tan 30^@)/(1+tan^2 30^@)

Choose the correct option and justify your choice:(iv) (2 tan 30^@)/(1-tan^2 30^@

Verify:d. (cos30^@-sin30^@)/(cos30^@+sin30^@)=sec60^@-tan60^@

Prove that: cos 60=(1-(tan 30)^2)/(1+(tan 30)^2)

Verify:c. tan30^@(sin60^@+sin30^@+cos0^@)=(cos60^@+sin60^@)

Prove that: (tan 60-tan 30)/(1+tan 60 tan 30)=tan 30

Find the values of :b. tan^2 30^@+tan^2 45^@+tan^2 60^@

Verify:b. 2cos^2 45^@=cos^2 60^@+cos^2 30^@

Prove that: (sec 30)^2-(2tan 30 cosec 60)/(1+(tan 30)^2)-(cot 30)^2=0

Find the values of :d. (5sin^2 30^@+cos^2 45^@+4tan^2 60^@)/(2sin30^@cos60^@+tan45^@)

R G PUBLICATION-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Verify:a.Sin60^@=(2tan30^@)/(1+tan^2 30^@)

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  2. IftriangleABCright-angled at B,AB=24cm,BC=7cm.Determine:(i)sinA,cosA

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  3. IntriangleABCright-angled at B,AB=24cm,BC=7cm.Determine:(ii)sinC,cosC

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  4. InFig.8.13,find tanP-cot R

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  5. If sinA=3/4,calculate cosA and tanA

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  6. Given 15 cotA=8,find sin A and sec A.

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  7. Givensectheta=13/12,calculate all other trigonometric ratios.

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  8. If angleA and angle B are acute such that cosA=cosB,then show that ang...

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  9. If cottheta=7/8evaluate:(i)((1+sintheta)(1-sintheta))/((1+costheta)(1-...

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  10. If cottheta=7/8evaluate:(ii)cot^2 theta

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  11. If 3 cotA=4,check whether(1-tan^2A)/(1+tan^2A)=Cos^2A-Sin^2A or not.

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  12. In triangle ABC,right-angled at B if tanA=1/sqrt3,find the value of:(i...

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  13. In triangle ABC,right-angled at B if tanA=1/sqrt3,find the value of:(i...

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  14. In trianglePQR,right-angled at Q,PR+QR=25cm and PQ=5cm.Determine the v...

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  15. State whether the following are true or false.Justify your answer.(i)T...

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  16. State whether the following are true or false.Justify your answer.(ii)...

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  17. State whether the following are true or false.Justify your answer.(iii...

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  18. State whether the following are true or false.Justify your answer.(iv)...

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  19. State whether the following are true or false.Justify your answer.(v)s...

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  20. Evaluate the following:(i)sin 60^@ cos30^@+sin 30^@ cos 60^@

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  21. Evaluate the following:(ii)2 tan^@ 45^@+cos^2 30^@-sin^2 60^@

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