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If `alpha` is a positive acute angle and `2sin alpha+15cos^(2)alpha=7`, then the value of `cotalpha` is

A

`1/2`

B

`5/4`

C

`3/4`

D

`1/4`

Text Solution

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The correct Answer is:
C
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

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  2. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

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  3. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

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  4. The value of theta [0^(@) lt theta lt 90^(@)], for which (cos theta)/(...

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  5. If sec theta+tan theta=3, then the value of sec theta is: यदि sec th...

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  6. If tan2theta.tan4theta=1 , then the value of tan3theta is

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  7. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

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  8. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

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  9. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

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  10. If (cos^(4)alpha)/(cos^(2)beta)+(sin^(4)alpha)/(sin^(2)beta)=1 then (c...

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  11. (Sin theta -Cos theta +1)/(Sin theta+Cos theta -1)= ?

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  12. If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2...

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  13. Find minimum value of 4sec^(2)theta+9cos^(2)theta.

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  14. If tan(x+y) tan(x-y)=1, then the value of tan((2x)/3)is:

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  15. If x ="cosec"theta - sin theta and y=sectheta - costheta, then the val...

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  16. If sin theta +sin^2 theta=1, then the value of cos^12 theta +3cos^10 t...

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  17. If tan(x+ y)tan(x-y)=1, then the value of tan x is:

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  18. If cotA + "cosec"A=3 and A is an acute angle then the value of cosA i...

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  19. The simplified value of 1- (sin^(2)A)/(1+ cosA) + (1+ cosA)/(sinA) - (...

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  20. If alpha is an acute angle and 2sinalpha+15cos^(2)alpha=7 then ...

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