Trigonometry (Basic)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

In `\triangleXYZ`, `\angle Y` is right angle. If `XY=2\sqrt{3}` unit and `XZ - YZ = 2` unit, then find the value of `(sec X - tan X)`.
Ans: `1/\sqrt{3}`
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Question No: #2

`sin 45^\circ + cos 45^\circ` equals to -
(a) `sin 90^\circ`, (b) `\text{cosec}\ 45^\circ`, (c) `tan 45^\circ`, (d) `sec 60^\circ`
Ans: (d) `sec 60^\circ`
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Question No: #3

Find the value of `(sin^6 \alpha + cos^6 \alpha + 3 sin^2 \alpha cos^2 \alpha)`.

Question No: #4

If `sin^2 \alpha + sin^2 \beta + sin^2 \gamma = 3`, then the value of `cos^2 \alpha + cos^2 \beta + cos^2 \gamma` is ....... .
Ans: `0`
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Question No: #5

Define radian in trigonometry. Prove that, `1^\circ \lt 1^c`.

Question No: #6

If the arc of a circle is equal to its radius, the sexagesimal value of the angle which the arc subtends at the center of the circle is .......... .
Ans: 57°16′22′′ (approx)
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Question No: #7

An angle of measure 1 radian will be -
(a) acute angle, (b) right angle, (c) obtuse angle, (d) straight angle
Ans: (a) acute angle (সূক্ষ্মকোণ)
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Question No: #8

Find the circular measure of the angle 11°15'
Ans: `\frac{\pi}{16}^c`
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Question No: #9

If the sum of two angles is 135° and their difference is `\pi/12`, then the sexagesimal and circular measure of these two angles.
Ans: `75^\circ = \frac{5\pi}{12}^c`, `60^\circ = \frac{\pi}{3}^c`
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Question No: #10

A rotating beam produces an additional angle of 30° after two full rotations in the anti-clockwise direction from a position. What will be the sexagesimal and circular measure of the angle in trigonometric measurement?
Ans: 750°, `\frac{25\pi}{6}^c`
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