WB JEE 2011 | Trigonometric Functions & Equations Question 28 | Mathematics

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WB JEE 2011

MCQ (Single Correct Answer)

-0.25

If $$\sin \theta + \cos \theta = 0$$ and $$0 < \theta < \pi $$, then $$\theta$$ =

$${\pi \over 4}$$

$${\pi \over 2}$$

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

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The value of cos 15$$^\circ$$ $$-$$ sin 15$$^\circ$$ is

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

$$ - {1 \over {\sqrt 2 }}$$

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

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

$\theta$ elimination from the equation $x^2+y^2=\frac{x \cos 3 \theta+y \sin 3 \theta}{\cos ^3 \theta}=\frac{y \cos 3 \theta-x \sin 3 \theta}{\sin ^3 \theta}$ will be

$4\left(x^4+y^4\right)=3 x+4 y$

$\left(x^2+y^2+2 x\right)\left(x^2+y^2-x\right)=2 y^2$

$\left(x^2+y^2-2 x\right)\left(x^2+y^2+x\right)=9 y$

$x^{2 / 3}+y^{2 / 3}=1$

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

The general solution of the equation $\sin ^{100} \mathrm{x}-\cos ^{100} \mathrm{x}=1$ is

$\left\{2 n \pi+\frac{\pi}{3}: n \in I\right\}$

$\left\{n \pi+\frac{\pi}{4}: n \in I\right\}$

$\left\{n \pi \pm \frac{\pi}{2}: n \in I\right\}$

$\left\{2 \mathrm{n} \pi-\frac{\pi}{3}: \mathrm{n} \in \mathrm{I}\right\}$

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