WB JEE 2008 | Trigonometric Functions & Equations Question 4 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The value of $$\cos {\pi \over {15}}\cos {{2\pi } \over {15}}\cos {{4\pi } \over {15}}\cos {{8\pi } \over {15}}$$ is

$${1 \over {16}}$$

$$-$$$${1 \over {16}}$$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The equation $$\sqrt 3 \sin x + \cos x = 4$$ has

only one solution

two solutions

infinitely many solutions

no solution

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The value of $$\cos 15^\circ \cos 7{1 \over 2}^\circ \sin 7{1 \over 2}^\circ $$ is

1/2

1/8

1/4

1/16

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

General solution of $$\sin x + \cos x = \mathop {\min }\limits_{a \in IR} \{ 1,{a^2} - 4a + 6\} $$ is

$${{n\pi } \over 2} + {( - 1)^n}{\pi \over 4}$$

$$2n\pi + {( - 1)^n}{\pi \over 4}$$

$$n\pi + {( - 1)^{n + 1}}{\pi \over 4}$$

$$n\pi + {( - 1)^n}{\pi \over 4} - {\pi \over 4}$$

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