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If (sin x)/(sin y)=(1)/(2), (cos x)/(cos...

If `(sin x)/(sin y)=(1)/(2), (cos x)/(cos y)=(3)/(2)`, where `x,y in (0,(pi)/(4))`, then the value of tan (x + y) is equal to

A

`sqrt(13)`

B

`sqrt(14)`

C

`sqrt(17)`

D

`sqrt(15)`

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The correct Answer is:
D
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AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
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  2. IF alpha+beta=pi/2 and gamma+beta=alpha then find tan alpha.

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  3. If (sin x)/(sin y)=(1)/(2), (cos x)/(cos y)=(3)/(2), where x,y in (0,(...

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  11. If A and B are acute positive angles satisfying the equations 3sin^(2)...

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  12. If theta=3alpha and sin theta =(a)/(sqrt(a^(2)+beta^(2))),, the value ...

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  13. If sqrt(2)cos A = cos B + cos^(3)B, and sqrt(2)sin A = sin B- sin^(3)B...

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  14. If sin theta(1)sin theta(2)-cos theta(1)cos theta(2)+1=0, then the val...

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  15. Given both theta and phi are acute angles and sin theta = (1)/(2), cos...

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  16. If tan(alpha-beta)=(sin 2beta)/(3-cos2beta), then

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  17. If tan alpha = (1)/(sqrt(x(x^(2)+x+1))), tan beta = (sqrt(x))/(sqrt(x^...

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  18. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

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  19. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

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  20. If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0 the...

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