The tangent function has “period”

• A) $${90^0}$$
• B) $${270^0}$$
• C) $${0^0}$$
• D) $${180^0}$$

$$\cos (\theta - 180) = \_\_\_\_\_.$$

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

What is the period of the following trigonometric function:
m(t)=−3cot(−2t)

• A) ω=−π
• B) ω=π
• C) ω=π/3
• D) ω=π/2

Equation of a circle centered at origin and radius “11” is …..

• A) ${x^2} + {y^2} = 121$
• B) ${x^2} - {y^2} = 121$
• C) $11{x^2} + 11{y^2} = 121$
• D) ${x^2} + {y^2} = 11$

The sine function is periodic, with period 360 degrees, and range between ______.

• A) -1 and 0.5
• B) 0 and 1
• C) 0 and -1
• D) -1 and 1

$$\cos (180 - \theta ) = \_\_\_\_\_.$$

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

The tangent function is periodic, but its period is ______ degrees.

• A) 360
• B) 180
• C) 60
• D) 90

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

• A) $45$
• B) $360$
• C) $90$
• D) $180$

The amplitude of the function is the height from the rest value to the extreme value

• A) False
• B) True
• C)
• D)

Two functions $f$ and $g$ are said to be identically equal if ______ for every value of $x$ for which both functions are defined.

• A) $g(x)=y$
• B) $f(x)=g(x)$
• C) $f(x)=y$
• D) $f(x)+g(x)$

Equation of a circle centred at (-5,0) and radius $\sqrt 9$ is .......

• A) ${x^2} + {(y + 5)^2} = 81$
• B) ${(x+5)^2} + {y^2} = 9$
• C) ${x^2} + {(y - 5)^2} = 81$
• D) ${(x-5)^2} + {(y + 5)^2} = 9$

The range of cosine function is between -1 and 1.

• A) True
• B) False
• C)
• D)

$\cot \theta =$

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

The domain of the function y =sinx is

• A) $$( - \infty , + \infty )$$
• B) none
• C) [-1, 1]
• D) $$(1, + \infty )$$

If tan⁡-1(x)=45o​, what is the value of x?

• A) none of these
• B) 1
• C) 0
• D) 0.5

The cosine function has “period”

• A) $${180^0}$$
• B) $${360^0}$$
• C) $${270^0}$$
• D) $${90^0}$$

The domain of inverse sine function and inverse cosine function is same.

• A) True
• B) False
• C)
• D)

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

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

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

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

data:image/png;base64,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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,iVBORw0KGgoAAAANSUhEUgAAACsAAAAZCAYAAACo79dmAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAG+SURBVFhH7Zg7jsIwEIZn9wbADYAjUNJQwQ2gj4SU1FQIKiqg59HRESRapPRcIBeAEwBXyPLPjldZyMPedQokPsmyPBkmv0cej8hHdIdehE+ZX4K32KJ4iy2Kt1hFvV6n2WwmKwvgns3icrlE0+k0arfbYtHjcDjg/ubfK7bbbdTtdqNSqcTParUax9YlU+xqtfoJbCoW/q7ryipiUYgzHA55AxgQDpuu4FSxCAqxoNFoGIkNw5BFnE4nsXyLRZw4eG6SiNxjABDMRCwyqi3AQKz1Ajufz7RcLmk0GoklHfiCarXKcx7Wxe73e7oXDjWbTbGkA18wGAx4zkUynInuMUDRoCBR9Xmoc63jq7CaWWSqXC5Tr9cTSzLX65VarRbdz3aubxyrYufzOfX7fVklA6GdTodFLhYLsephTazv+3S73chxHLEkMx6PeZ5MJjybYE3sZrPhbFUqFbE8s16veVO73e6XH9qyFnJ2U0HRoC3CNd464xyPx6cm8Eha8am2rEOqF4LiBkCg+IDt8YVoAvHWmoRqt0kDm9BBb0sZqJaJ7BbNv//dep7HnSgIArEUCEv+IyZNwAYv9N2A6AsYe6slamudFAAAAABJRU5ErkJggg==.
• D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAVCAYAAACpF6WWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACKSURBVDhPY/wPBAxUBkxQmqpg1FDc4O3btwxdXV0MHh4eUBEiASj2sYEZM2b8FxQUBKWM/+7u7lBR4gBWl1ZXV4Ppd+/eMZiYmIDZpACC6RTm9R07doBpYsBokqI+GOGG4sxRIPDmzZv/ysrK4FwFYhMLsBq6fPlycNYEGYaMQWIgOUJgRJf8DAwA8dPys9TfzP8AAAAASUVORK5CYII=.