JEE Main 2021 (Online) 27th July Morning Shift | Trigonometric Functions & Equations Question 43 | Mathematics

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-1

If $$\sin \theta + \cos \theta = {1 \over 2}$$, then 16(sin(2$$\theta$$) + cos(4$$\theta$$) + sin(6$$\theta$$)) is equal to :

$$-$$27

$$-$$23

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-1

The value of $$\cot {\pi \over {24}}$$ is :

$$\sqrt 2 + \sqrt 3 + 2 - \sqrt 6 $$

$$\sqrt 2 + \sqrt 3 + 2 + \sqrt 6 $$

$$\sqrt 2 - \sqrt 3 - 2 + \sqrt 6 $$

$$3\sqrt 2 - \sqrt 3 - \sqrt 6 $$

JEE Main 2021 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

-1

The sum of all values of x in [0, 2$$\pi$$], for which sin x + sin 2x + sin 3x + sin 4x = 0, is equal to :

8$$\pi$$

11$$\pi$$

12$$\pi$$

9$$\pi$$

JEE Main 2021 (Online) 18th March Evening Shift

MCQ (Single Correct Answer)

-1

If 15sin⁴$$\alpha$$ + 10cos⁴$$\alpha$$ = 6, for some $$\alpha$$$$\in$$R, then the value of

27sec⁶$$\alpha$$ + 8cosec⁶$$\alpha$$ is equal to :

500

400

250

350

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