WB JEE 2009 | Trigonometric Functions & Equations Question 9 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The value of $$\left( {1 + \cos {\pi \over 6}} \right)\left( {1 + \cos {\pi \over 3}} \right)\left( {1 + \cos {{2\pi } \over 3}} \right)\left( {1 + \cos {{7\pi } \over 6}} \right)$$ is

$${3 \over {16}}$$

$${3 \over {8}}$$

$${3 \over {4}}$$

$${1 \over {2}}$$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

$$P = {1 \over 2}{\sin ^2}\theta + {1 \over 3}{\cos ^2}\theta $$, then

$${1 \over 3} \le P \le {1 \over 2}$$

$$P \ge {1 \over 2}$$

$$2 \le P \le 3$$

$$ - {{\sqrt {13} } \over 6} \le P \le {{\sqrt {13} } \over 6}$$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

A positive acute angle is divided into two parts whose tangents are 1/2 and 1/3. Then the angle is

$$\pi$$/4

$$\pi$$/5

$$\pi$$/3

$$\pi$$/6

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The smallest value of $$5\cos \theta + 12$$ is

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