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If cot y= (sin x- sin z)/(cos z- cos x) ...

If `cot y= (sin x- sin z)/(cos z- cos x)` then which of the following is possible?

A

x, y, z are in AP

B

-x, y, z are in AP

C

x, y, z are in HP

D

none of these

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The correct Answer is:
A
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A DAS GUPTA-Circular Functions, Identities -Exercise
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  2. The number of real values of x for which sin(e^x) = 5^(x)+5^(-x) is

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...

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  16. sin 1^circ lt sin 1. Given statement is true or false.

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  17. If sin alpha = -3/5,pi lt alpha lt 3pi/2 then cos alpha/2 = 1/sqrt10

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  18. If (1)/(x + y) = (1)/(2) and (1)/(x -y) = (1)/(3), then x = and y =

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  19. In the following incomplete sentences fill in the blanks such that the...

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