AP EAPCET 2022 - 5th July Morning Shift | Trigonometric Ratios & Identities Question 33 | Mathematics

$$\begin{aligned} & \frac{1}{\sin 1^{\circ} \sin 2^{\circ}}+\frac{1}{\sin 2^{\circ} \sin 3^{\circ}}+\ldots +\frac{1}{\sin 89^{\circ}+\sin 90^{\circ}}= \end{aligned}$$

$$\frac{\cos 1^{\circ}}{\sin 1^{\circ}}$$

$$\frac{\cos 1^{\circ}}{\sin ^2 1^{\circ}}$$

$$\frac{\sin 1^{\circ}}{\cos 1^{\circ}}$$

$$\frac{\sin ^2 1^{\circ}}{\cos 1^{\circ}}$$

AP EAPCET 2022 - 5th July Morning Shift

MCQ (Single Correct Answer)

-0

Which of the following trigonometric values are negative?

I. $$\sin \left(-292^{\circ}\right)$$

II. $$\tan \left(-190^{\circ}\right)$$

III. $$\cos \left(-207^{\circ}\right)$$

IV. $$\cot \left(-222^{\circ}\right)$$

II, III and IV

Only III

I and III

II and III

AP EAPCET 2022 - 5th July Morning Shift

MCQ (Single Correct Answer)

-0

$$\sin ^2 \frac{2 \pi}{3}+\cos ^2 \frac{5 \pi}{6}-\tan ^2 \frac{3 \pi}{4}=$$

1/2

1/3

AP EAPCET 2022 - 4th July Evening Shift

MCQ (Single Correct Answer)

-0

A true statement among the following identities is

$$\sin 5 \theta=16 \cos ^4 \theta \sin \theta-12 \cos ^2 \theta \sin \theta+\sin \theta$$

$$\sin 5 \theta=16 \cos ^4 \theta-12 \cos ^2 \theta+1$$

$$\sin 5 \theta=16 \cos ^4 \theta \sin \theta+12 \cos ^2 \theta \sin \theta-\sin \theta$$

$$\sin 5 \theta=16 \cos ^4 \theta \sin \theta+12 \cos ^2 \theta \sin \theta+\sin \theta$$

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