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The value of cos^(2)x + cos^(2) (pi/3 + ...

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

A

cos 2x

B

`sin^(2)x`

C

`3/4`

D

none of these

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A DAS GUPTA-Circular Functions, Identities -Exercise
  1. What is the real part of ( sin x + icos x )^(3), where i= sqrt( -1) ?

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  2. If alpha, beta be the solutions of theta for the equation a tan theta...

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

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

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  5. If tan theta + tan (pi/3 +theta) + tan (frac{2pi}{3}+ theta) = k tan 3...

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

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

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  8. (2+sin 2x)/(1+cos 2x) e^(x)

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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. If a1 +a2cos 2x + a3sin^(2)x = 0 be true for all x then a1, a2 and a3...

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

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  13. If cos x + cos y- cos(x +y) = 3/2 then x=y is possible.

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

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  15. The minimum value of 3cos x + 4sin x + 5 is 0. Given statement is true...

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

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

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  18. Prove that sin 1^circ lt sin 1.

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

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

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