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What is sqrt((1 + sin theta)/(1 -sinthet...

What is `sqrt((1 + sin theta)/(1 -sintheta))` equal to ?

A

`sec theta - tan theta`

B

`sec theta + tan theta`

C

`"cosec"theta + cot theta`

D

`"cosec"theta - cot theta`

Text Solution

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The correct Answer is:
B
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. What is the value of , [(1-sin^(2)theta)sec^(2)theta +tan^(2)theta](co...

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  2. What is the value of sin^(2) 15^(@) + sin^(2) 20^(@) + sin^(2)25^(@) +...

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  3. What is sqrt((1 + sin theta)/(1 -sintheta)) equal to ?

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  4. If theta^(@) lt theta lt 90^(@) and (sin theta)/(cos theta) + (cos the...

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  5. If sin 3 theta = cos (theta - 2 ^(@)) where 3 theta and (theta - 2 ^(@...

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  6. What is ( sin ^(6) theta - cos ^(6) theta )/( sin ^(2) theta - cos ^(2...

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  7. If sin^(4)x + sin^(2) x =1, then the value of cot^(4)x + cot^(2)x is:

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  8. If x cos theta + y sin theta =2 and x cos theta - y sin theta =0, then...

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  9. Expression sin A (1 + tan A) + cos A(1+ cot A) is equal to:

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  10. If 0^(@) lt theta lt 90^(@) and cos^(2) theta - sin^(2) theta = 1/2,th...

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  11. If 3 sin theta + 4 cos theta = 5, then 3 cos theta - 4 sin theta is eq...

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  12. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

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  13. For 0^(@) lt theta lt 90^(@) which of the following expression is of t...

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  14. If a cos theta - b sin theta =c, then prove that a sin theta + b cos t...

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  15. Expression tan^(2)alpha + cot^(2)alpha is:

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  16. Find maximum value of sin^(8)theta+cos^(14)theta.

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  17. If P = 1/2 sin^(2)theta + 1/3 cos^(2)theta, then

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  18. Minimum value of 5costheta + 12 is:

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  19. If asin^(3)theta + bcos^(3)theta = sin theta costheta, 0 lt theta lt 9...

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  20. sin^(2)17.5^(@) +sin^(2)72.5^(@) is equal to:

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