math_trig_test_question_2aMath ((trigonometry)) test Paper -2$Math\phantom{\rule{0.22em}{0ex}}(trigonometry)\phantom{\rule{0.22em}{0ex}}test\phantom{\rule{0.22em}{0ex}}Paper\phantom{\rule{0.22em}{0ex}}-2$Time-1.5 hours

Questions

Marks

Score

Q-1Convert 30°$30}^{\xb0$ into radian

1

Q-2Find in radians and degrees the angle subtended at the centre of a circle by an arc whose length is 15 cm, if the radius of the circle is 25 cm.

2

Q-3The perimeter of a sector of a circle, of area 25𝜋$25\mathit{\pi}$ sq.cm, is 20 cm. Find the area of sector.

2

Q-4The angles of a quadrilateral are in A.P.and the greatest angle is double the least. Express the least angle in radians.

2

Q-5The angles of a triangle are in A. P. such that greatest is 5 times the least. The angles in degrees are

2

Q-6A wheel makes 360 revolutions in 1 minute. Through how many radians does it turn in1 second?

2

Q-7In a circle of diameter 66 cm, the length of achord is 33 cm. Find the length of minor arc of the chord.

2

Q-8 Find the angle between the hour-hand and minute-hand of a clock ati. twenty minutes past two

3

Q-9Find the angle between the hour-hand andminute-hand of a clock ati. quarter past six

3

Q-10Find the angle between the hour-hand and minute-hand of a clock ati. ten past eleven.

3

Q-11Two circles each of radius 7 cm, intersecteach other. The distance between their centres is 72$7\sqrt{2}$ cm. Find the area common to both the circles.

3

Q-12𝛥$\mathit{\Delta}$PQR is an equilateral triangle with side 18cm. A circle is drawn on segment QR as diameter. Find the length of the arc of this circle intercepted within the triangle.

3

Q-13If sinA=-3

5$sinA=-\frac{3}{5}$ and 180°<A<270°$180}^{\xb0}<A<{270}^{\xb0$ then find the value of followingi) cosAii) tanA

3

Q-14Find the value of sin41𝜋

4$sin\frac{41\mathit{\pi}}{4}$

2

Q-15Find the value of sin(-𝜋

4)$sin(-\frac{\mathit{\pi}}{4})$

1

Q-16Find the value of cos(-𝜋

4)$cos(-\frac{\mathit{\pi}}{4})$

1

Q-17Find the value of tan(-𝜋

4)$tan(-\frac{\mathit{\pi}}{4})$

1

Q-18Find the value of cos((-𝜋))$cos(-\mathit{\pi})$