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(sec A+tan A)(1-sin A)=?...

`(sec A+tan A)(1-sin A)=?`

A

sin A

B

cos A

C

sec A

D

cosec A

Text Solution

Verified by Experts

The correct Answer is:
B
`(secA+tanA)(1-sinA)=((1)/(cosA)+(sinA)/(cosA))(1-sinA)=((1+sinA)(1-sinA))/(cosA)=(1-sin^(2)A)/(cosA)=(cos^(2)A)/(cosA)=cosA.`
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RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Multiple Choice Questions (Mcq)
  1. Choose the correct answer in each of the following questions: If tan...

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  2. Choose the correct answer in each of the following questions: If sec...

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  3. Choose the correct answer in each of the following questions: If sin...

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  4. Choose the correct answer in each of the following questions: If co...

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  5. If 3x=cosectheta and 3/x=cottheta find the value of 3(x^2-1/x^2)

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  6. Choose the correct answer in each of the following questions: If 2x=...

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  7. Choose the correct answer in each of the following questions: If tan...

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  8. If tan theta+cot theta=5 then tan^2 theta+cot^2 theta=

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  9. Choose the correct answer in each of the following questions: If (co...

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  10. If tan theta=1/sqrt7,then (c o s e c^2theta-sec^2theta)/(c o s e c^2th...

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  11. Choose the correct answer in each of the following questions: If 7ta...

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  12. Choose the correct answer in each of the following questions: If 3co...

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  13. If tan theta=a/b then (a sin theta-b cos theta)/(a sin theta+bcos thet...

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  14. Choose the correct answer in each of the following questions: If sin...

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  15. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

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  16. Choose the correct answer in each of the following questions: sqrt(...

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  17. sqrt((1+cosA)/(1-cosA))=

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  18. If tantheta=a/b then find the value of (costheta+sintheta)/(costheta-s...

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  19. Choose the correct answer in each of the following questions: ("cose...

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  20. (sec A+tan A)(1-sin A)=?

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