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If `alpha` is an acute angle and `2sinalpha+15cos^(2)alpha=7` then the value of `cotalpha` is

A

`4/3`

B

`sqrt(5)/2`

C

`2/sqrt(5)`

D

`3/4`

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The correct Answer is:
D
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
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  2. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If tantheta - cot theta =a and cos theta - sin theta =b, then value of...

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  16. If (a^2-b^2)sin theta+2abcos theta= a^2+b^2, then tan theta= यदि (a...

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  17. sin^(2)21^(@) + sin^(2) 69^(@) is equal to

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  18. sin^(2)5^(@) + sin^(2)25^(@) + sin^(2)45^(@) + sin^(2) 65^(@) + sin^(2...

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  19. For all real values of alpha, x = cos^(4) alpha + sin^(2)alpha, then r...

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  20. If sin^(2)alpha=cos^(2)alpha , then the value of (cot^(6)alpha-cot^(2)...

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