$sin \theta$ is positive in the first and the _____ quadrant.

• A) first
• B) second
• C) third
• D) fourth

The sum formula for $tan (A + B)$ is _____.

• A) $$\tan A + \tan B$$
• B) $$\frac{{2\tan A}}{{1 - {{\tan }^2}A}}$$
• C) $$\frac{{\tan A - \tan B}}{{1 + \tan A\,\tan B}}$$
• D) $$\frac{{\tan A + \tan B}}{{1 - \tan A\,\tan B}}$$

$$1 + {\cot ^2}\theta =$$

• A) $${\sec ^2}\theta$$
• B) $${\csc ^2}\theta$$
• C) $${\sec ^2}\theta$$
• D) $${\tan ^2}\theta$$

The difference formula for $sin (A - B)$ is _____.

• A) $$\sin A\,\cos B + \cos A\,\sin B$$
• B) $$\sin A\,\cos B - \cos A\,\sin B$$
• C) $$\cos A\,\cos B - \sin A\,\sin B$$
• D) $$\cos A\,\cos B + \sin A\,\sin B$$

The radius of the unit circle is

• A) $\pi$
• B) 2
• C) 3
• D) 1

The function $y = \sin 4x$ has period......

• A) $\frac{\pi }{2}$
• B) $2\pi$
• C) $\frac{\pi }{4}$
• D) $\frac{\pi }{3}$

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• B) data:image/png;base64,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.
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What does the sine function represent in a right triangle?

• A) The ratio of the hypotenuse to the opposite side.
• B) The ratio of the opposite side to the hypotenuse.
• C) The ratio of the adjacent side to the hypotenuse.
• D) The ratio of the opposite side to the adjacent side.

$\cos ( 0 ) = .....$

• A) 0
• B) 0.5
• C) -1
• D) 1

The domain of $y = \arcsin x$ is ............

• A) $[ - \infty ,\infty ]$
• B) $[ - \pi ,\pi ]$
• C) [-1,1]
• D) $[ - \frac{\pi }{2},\frac{\pi }{2}]$

Sinө is positive in the

• A) first and the second quadrant
• B) third and the fourth quadrant
• C) second quadrant
• D) third quadrant

$$\sin (\theta + 2\pi ) =$$

• A) $$- \sin \theta$$
• B) $$\cos \theta$$
• C) $$\sin \theta$$
• D) $$- \cos \theta$$

What is the value of sin⁡-1(1)?

• A) 0o
• B) 30o
• C) 60o
• D) 90o

In the cosine function, the minimum value of ______ is taken when $\theta = \pm {180^ \circ }\,,\, \pm {540^ \circ }$ and so on.

• A) 1
• B) -1
• C) 0
• D) -0.5

The term "amplitude" in trigonometry refers to:

• A) The speed of a wave
• B) The height of a wave from its mean position
• C) The distance between two peaks
• D) The total length of a wave

[Math Processing Error]$$\sin (\theta + 2\pi ) =$$

• A) [Math Processing Error]$$\sin \theta$$
• B) [Math Processing Error]$$- \cos \theta$$
• C) [Math Processing Error]$$\cos \theta$$
• D) [Math Processing Error]$$- \sin \theta$$

The center of a circle having equation [Math Processing Error]${(x + 2)^2} + {(y - 5)^2} - 36 = 0$ is at.........

• A) (2,-5)
• B) (-2,-5)
• C) (2,5)
• D) (-2,5)

A simple expression for the sum ${p^4} - {p^3}q + {p^2}{q^2} - p{q^3} + {q^4}$ is _________.

• A) $\frac{{{p^3} + {q^3}}}{{p + q}}$
• B) $\frac{{{p^6} + {q^6}}}{{p + q}}$
• C) $\frac{{{p^4} + {q^4}}}{{p + q}}$
• D) $\frac{{{p^5} + {q^5}}}{{p + q}}$

[Math Processing Error]cosθ$cos\theta$ is positive in the _______ and the fourth quadrant.

• A) second
• B) first
• C) fourth
• D) third

[Math Processing Error]sin2θ+cos2θ=______.$${\sin ^2}\theta + {\cos ^2}\theta = \_\_\_\_\_\_.$$

• A) 1/2
• B) 1
• C) -1
• D) 0