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If angleA and angle B are acute such tha...

If `angleA and angle B` are acute such that cosA=cosB,then show that `angleA=angleB`

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R G PUBLICATION-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. Given 15 cotA=8,find sin A and sec A.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Evaluate the following:(iii)Cos45^@/(Sec30^@+Cosec30^@)

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  18. Evaluate the following:(iv)(Sin30^@+tan45^@-Cosec60^@)/(Sec30^@+Cos60^...

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  19. Evaluate the following:(v)(5cos60^@+4Sec30^@-tan^2 45^@)/(Sin^2 30^@+C...

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

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