Trigonometry (Basic)

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

Click on each question to see answer & solution.

Question No: #11

How many radians does the hour hand of a clock turn in one hour?
Ans: `- \pi/6` radian
SEE SOLUTION

Question No: #12

How many radians does the minute hand of a clock turn in one hour?
Ans: `- 2\pi ^c`
SEE SOLUTION

Question No: #13

The measurement of `\theta` in the relation `s = r \theta` is determined by .......... system (sexagesimal / circular).
Ans: circular (বৃত্তীয়)
SEE SOLUTION

Question No: #14

The ratio of two angles subtended by two arcs of unequal lenghts at the centre is `5:2` and if the sexagesimal value of the second angle is `30°`, then determine the sexagesimal value and the circular value of the first angle.
Ans: `75°, \frac{5\pi}{12}^c`
SEE SOLUTION

Question No: #15

The value of angle, which is subtended at centre of a circle of radius `r` by an arc of lenth `l` is .........
Ans: `l/r` radian
SEE SOLUTION

Question No: #16

The length of a radius of a circle is 28 cm. Determine the circular value of angle subtended by an arc of 5.5 cm length at the center of this circle.
Ans: `\frac{\pi}{16}^c`
SEE SOLUTION

Question No: #17

In a circle, if an arc of length 220 cm subtends an angle of measure 63° at the centre, then determine the radius of the circle.
Ans: 200 cm
SEE SOLUTION

Question No: #18

If the value of an angle in degree is `D` and in radian is `R`, then determine the value of `D/R`.
Ans: `180/\pi`
SEE SOLUTION

Question No: #19

If three angles of a quadrilateral are `\pi/3, {5\pi}/6` and `90^\circ` respectively, find the value of fourth angle in sexagesimal and circular measurement system.
Ans: `60^\circ, \pi/3`
SEE SOLUTION

Question No: #20

In a right angled triangle, if one acute angle is 30° find the other acute angle in circular measure.
Ans: `\frac{\pi}{3}^c`
SEE SOLUTION