WB JEE 2018 | Trigonometric Functions & Equations Question 40 | Mathematics

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

The approximate value of sin31$$^\circ$$ is

> 0.5

> 0.6

< 0.5

< 0.4

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

If sin6$$\theta$$ + sin4$$\theta$$ + sin2$$\theta$$ = 0, then general value of $$\theta$$ is

$${{n\pi } \over 4},n\pi \pm {\pi \over 3}$$

$${{n\pi } \over 4},n\pi \pm {\pi \over 6}$$

$${{n\pi } \over 4},2n\pi \pm {\pi \over 3}$$

$${{n\pi } \over 4},2n\pi \pm {\pi \over 6}$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

The equation $$\sin x(\sin x + \cos x) = k$$ has real solutions, where k is a real number. Then,

$$0 \le k \le {{1 + \sqrt 2 } \over 2}$$

$$2 - \sqrt 3 \le k \le 2 + \sqrt 3 $$

$$0 \le k \le 2 - \sqrt 3 $$

$${{1 - \sqrt 2 } \over 2} \le k \le {{1 + \sqrt 2 } \over 2}$$

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