JEE Main 2019 (Online) 12th April Morning Slot | Trigonometric Equations Question 33 | Mathematics

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

-1

The number of solutions of the equation
1 + sin⁴ x = cos²3x, $$x \in \left[ { - {{5\pi } \over 2},{{5\pi } \over 2}} \right]$$ is :

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

Let S = {$$\theta $$ $$ \in $$ [–2$$\pi $$, 2$$\pi $$] : 2cos²$$\theta $$ + 3sin$$\theta $$ = 0}. Then the sum of the elements of S is

$$\pi $$

2$$\pi $$

$${{13\pi } \over 6}$$

$${{5\pi } \over 3}$$

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

The sum of all values of $$\theta $$ $$ \in $$$$\left( {0,{\pi \over 2}} \right)$$ satisfying
sin² 2$$\theta $$ + cos⁴ 2$$\theta $$ = $${3 \over 4}$$ is -

$${{5\pi } \over 4}$$

$${\pi \over 2}$$

$$\pi $$

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

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

If 0 $$ \le $$ x < $${\pi \over 2}$$, then the number of values of x for which sin x $$-$$ sin 2x + sin 3x = 0, is :

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