WB JEE 2011 | Trigonometric Functions & Equations Question 24 | Mathematics

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If $$\sin \theta = {{2t} \over {1 + {t^2}}}$$ and $$\theta$$ lies in the second quadrant, then cos $$\theta$$ is equal to

$${{1 - {t^2}} \over {1 + {t^2}}}$$

$${{{t^2} - 1} \over {1 + {t^2}}}$$

$${{ - |1 - {t^2}|} \over {1 + {t^2}}}$$

$${{1 + {t^2}} \over {|1 - {t^2}|}}$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The number of solutions of $$2\sin x + \cos x = 3$$ is

infinite

no solution

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

Let $$\tan \alpha = {a \over {a + 1}}$$ and $$\tan \beta = {1 \over {2a + 1}}$$ then $$\alpha + \beta $$ is

$$\pi$$/4

$$\pi$$/3

$$\pi$$/2

$$\pi$$

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If $$\theta$$ + $$\phi$$ = $$\pi$$/4, then (1 + tan $$\theta$$) (1 + tan $$\phi$$) is equal to

5/2

1/3

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