$$\sin 2A = \_\_\_\_\_\,.$$

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

$sin \theta$ is negative in the _____ and the fourth quadrant.

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

$$\tan 2A = \_\_\_\_\_\,.$$

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

$$The\,\,function\,\,y = \cos 3x\,\,has\,period...$$

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

$\tan \theta =$

• A) $\frac{{\sin \theta }}{{\cos \theta }}$
• B) $\frac{{\cot \theta }}{{\cos \theta }}$
• C) $\frac{{\cos \theta }}{{\sin \theta }}$
• D) $\frac{{\cot \theta }}{{\sin \theta }}$

$cos\theta$ is positive in the _______ and the fourth quadrant.

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

$$\tan \theta$$ is negative in the _________ quadrant

• A) none
• B) 1st
• C) 2nd
• D) 3rd

$cos\theta$ is positive in the ___________ quadrant.

• A) $III$
• B) $I$
• C) $II$
• D) Both $I$ and $II$

cos-1 (cos(x)) = ________.

• A) none of these
• B) 1
• C) -x
• D) x

Which of the following trigonometric functions is periodic?

• A) Tangent
• B) Sine
• C) Cosine
• D) All of the above

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• A) data:image/png;base64,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.
• B) data:image/png;base64,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.
• C) data:image/png;base64,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.
• D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAbCAYAAAB4Kn/lAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACSSURBVEhL7dXRCYAgEAbgqw3cxR3EGdzAEXQCt3MCJ3AH6+QyCAsLe7sPJDjjPx88XMoOfrDSdzoObji4eQxOKYG1Frz3VHkBB+Qq51ycczg4dYUQaGdc98TGGNBaw96AKh9Qg1v4y7QTz8DBDQef6Np1xRjrPZZSUmVcNxjHGcMw9FhCiKKUqs1G8GPacDAB2ADf7Ur5VRTQ7QAAAABJRU5ErkJggg==.

Which of the following is a practical use of trigonometry in aviation?

• A) Monitoring engine performance
• B) Calculating flight path angles and distances
• C) Reducing in-flight noise
• D) Designing passenger seats

$cos(180-\theta)=$

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

$$\cos 2A = \_\_\_\_\_\,.$$

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

The range of $y = \arccos x$ is........

• A) $[0,\pi ]$
• B) $[ - 1,1]$
• C) $[ - 2\pi ,2\pi ]$
• D) $[ - \pi ,\pi ]$

The sum formula for $cos (A + B)$ 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 center of a circle having equation ${(x - 3)^2} + {(y +2)^2} - 49 = 0$ is at.........

• A) (-3,2)
• B) (-2,3)
• C) (3,-2)
• D) (-3,-2)

What is the value of cos⁡-1(1)?

• A) 90o
• B) 60o
• C) 30o
• D) 0o

$$The\,\,function\,\,y = \sin 3x\,\,has\,period...$$

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

$$\sin ( - \theta ) = \_\_\_\_\_.$$

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