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If the angle A of a triangle ABC is give...

If the angle A of a triangle ABC is given by the equation 5 cos A + 3 = 0, then sin A and tan A are the roots of the equation

A

`15x^(2) -8x-16 =0`

B

`15x^(2) -8sqrt(2)x + 16 =0`

C

`15x^(2) -8x + 16 =0`

D

`15x^(2) + 8x - 16 =0`

Text Solution

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The correct Answer is:
D
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
  1. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

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  2. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((1-b)/(a+b)) is equal to 2s ...

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  3. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

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  4. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

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  5. If cos(A-B)=3/5and tan A tanB=2, then

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  6. If tan A and tan B are the roots of the quadratic equation x^(2)-px+q=...

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  7. The value of (3 + cot 76^(@)cot 16^(@))/(cot 76^(@) + cot 16^(@))=

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  8. ( 2 sec theta + 3 tan theta + 5 sin theta - 7 cos theta +5)/( 2 tan th...

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  9. The value of 16 sin 144^@ sin 108^@ sin 72^@ sin 36^@ is equal to

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  10. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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  11. cos^(4) "" ( pi )/(8) + cos^(4) "" ( 3pi)/( 8 ) + cos^(4) "" ( 5pi )/(...

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  12. The value of sqrt3cot20^(@)-4cos20^(@) is

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  13. If If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alph...

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  14. If A+B=pi/4, then (1+tan A) (1+tanB) is equal

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  15. If f (x) = ( cot x )/( 1+ cot x ) and theta +phi = ( 5pi )/( 4), then ...

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  16. If sin A + sin B =a and cos A + cos B = b, then cos ( A + B ) =

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  17. If cos A + cos B =a, and sin A + sin B = b where a,b cancel(=)0, then ...

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  18. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

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  19. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

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  20. If 2 cos theta = x + ( 1)/( x) , 2 cos phi = y + ( 1)/( y ), then cos...

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