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If alpha = theta1 +theta2 and x = theta1...

If `alpha = theta_1 +theta_2` and `x = theta_1 -theta_2` and `tan theta_1 = lambda tan theta_2` then `sin x: sin alpha` is equal to ______

A

`(lambda+1)/(lambda-1)`

B

`(lambda-1)/(lambda+1)`

C

`1/lambda`

D

`lambda/(lambda+1)`

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A DAS GUPTA-Circular Functions, Identities -Exercise
  1. sec^(2)theta = 4xy/(x+y)^(2) is true if and only if

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  2. If cos theta + sec theta = 2 then cos^(n)theta+ sec^(n)theta is equal ...

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  3. If alpha = theta1 +theta2 and x = theta1 -theta2 and tan theta1 = lamb...

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  4. If ABCD is a cyclic quadrilateral then cos A + cos B + cos C + cos D ...

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  5. tan 40^circ + 2tan 10^circ is equal to

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  6. If cos(alpha + gamma)/cos(alpha - gamma) = cos 2beta then tan alpha, t...

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  7. The value of sqrt3 cosec 20^circ - sec 20^circ is equal to

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  8. The number of real values of x for which sin(e^x) = 5^(x)+5^(-x) is

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  9. If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...

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  10. The value of cos^(2)x + cos^(2) (pi/3 + x) - cos x *cos(pi/3+ x) is

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  11. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

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  12. If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...

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  13. The value of sin sqrt(x^(2) - pi^(2)/36) lies in the interval

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  14. If alpha, beta are two values lying between 0 and 2pi for which tan t...

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  15. sin theta = x + 1/x is possible for some real values of x.

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  16. Is (sec x + tan x + 1)(sec x - tan x - 1) - 2tan x = 0 an identity.

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  17. The maximum value of 5cos theta + 12 sin theta is 17. This statement ...

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  18. If x = rsin theta*cos phi, y = rsin theta*sin phi and z = rcos theta ...

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  19. The minimum value of 3 cos x+4 sin x+8 is:

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  20. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

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