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If theta=3alpha and sin theta =(a)/(sqrt...

If `theta=3alpha` and `sin theta =(a)/(sqrt(a^(2)+beta^(2)))`,, the value of the expression `a cosec alpha - b sec alpha` is

A

`(a)/(sqrt(a^(2)+b^(2)))`

B

`2sqrt(a^(2)+b^(2))`

C

`a+b`

D

`(sqrt(a^(2)+b^(2)))/(2)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
  1. Find the value of the expression sqrt3 cosec 20^@-sec20^@=…….

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

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

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

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

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

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

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

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

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

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

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  12. If sec theta + tan theta=1, then root of the equation (a-2b+c)x^(2) + ...

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  13. If tan alpha is equal to the integral solution of the inequality 4x^(2...

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  14. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  15. If "tan"^(2)(pi-4)/(4)+"tan"^(2)(pi-B)/(4)+"tan"^(2)(pi-C)/(4)=1, then...

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  16. In a Delta ABC, if tan A : tan B : tan C = 3 : 4 : 5, then the value o...

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  17. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

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  18. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

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  19. If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"...

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  20. If tan((pi)/(4)+(y)/(2))=tan^(3)((pi)/(4)+(x)/(2)) then (3+sin^(2)x)/(...

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