The center of a circle having equation {(x - 3)^2} + {(y +2)^2} - 49 = 0 is at.........

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

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

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

In the cosine function, the maximum value of ______ is taken when \theta = {0^ \circ }\,,\,\, \pm {360^ \circ }\,,\, \pm {720^ \circ } and so on.

• A) 0.5
• B) -1
• C) 1
• D) 0

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

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

cos(180-\theta)=

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

Equation of a circle centered at (0,-5) and radius $\sqrt 8 $ is .......

• A) ${x^2} + {(y + 5)^2} = 64$
• B) ${x^2} + {(y - 5)^2} = 64$
• C) ${x^2} - {(y + 5)^2} = 8$
• D) ${x^2} + {(y + 5)^2} = 8$

Equation of a circle centered at (0,-5) and radius \sqrt 8 is .......

• A) {x^2} + {(y + 5)^2} = 8
• B) {x^2} + {(y - 5)^2} = 64
• C) {x^2} - {(y + 5)^2} = 8
• D) {x^2} + {(y + 5)^2} = 64

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• A) data:image/png;base64,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
• B) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACKSURBVDhPY/wPBAxUBkxQmqpg1FDc4O3btwxdXV0MHh4eUBEiASj2sYEZM2b8FxQUBKWM/+7u7lBR4gBWl1ZXV4Ppd+/eMZiYmIDZpACC6RTm9R07doBpYsBokqI+GOGG4sxRIPDmzZv/ysrK4FwFYhMLsBq6fPlycNYEGYaMQWIgOUJgRJf8DAwA8dPys9TfzP8AAAAASUVORK5CYII=
• C) data:image/png;base64,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
• D) data:image/png;base64,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

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

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

\frac{\pi}{2} radians =________ degrees

• A) 90
• B) 180
• C) 45
• D) 360

The cosine function has “period” {360^ \circ } as it repeats itself after each revolution of _________.

• A) {90^ \circ }
• B) {180^ \circ }
• C) {360^ \circ }
• D) {60^ \circ }

\cos ( - \pi ) = .....

• A) -1
• B) 0
• C) 1
• D) 0.5

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

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

\[\tan \theta \] is negative in the _________ quadrant

• A) none
• B) 3rd
• C) 2nd
• D) 1st

The value of \sin {135^ \circ } is same as the value of ........

• A) - \sin {135^ \circ }
• B) \sin {45^ \circ }
• C) - \sin {45^ \circ }
• D) - \sin {90^ \circ }

\[\tan 2A = \_\_\_\_\_\,.\]

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

\[\cos (\theta - 180) = \_\_\_\_\_.\]

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

\[\cos (180 - \theta ) = \_\_\_\_\_.\]

• A) \[\sin \theta \]
• B) \[ - cos\theta \]
• C) \[ - \sin \theta \]
• D) \[cos\theta \]

cos\theta is negative in the second and the _______ quadrant.

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

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

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