math_trig_test_question_2Math(trigonometry)testPaper-2Time-1.5 hours
Questions
Marks
Score
Q-1Convert 30° 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 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 cm. Find the area common to both the circles.
3
Q-12𝛥PQR 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=-35 and 180°<A<270° then find the value of followingi) cosAii) tanA
3
Q-14Find the value of sin41𝜋4
2
Q-15Find the value of sin(-𝜋4)
1
Q-16Find the value of cos(-𝜋4)
1
Q-17Find the value of tan(-𝜋4)
1
Q-18Find the value of cos(-𝜋)
1
Q-19Find the value of sin(-3𝜋4)
1
Q-20Find the value of cos(-3𝜋4)
1
Q-21Find the value of sin(-5𝜋4)
1
Answer: 1 𝜋6 Answer: 2180𝜋 Answer: 325 sq. cm Answer: 4 𝜋3 Answer: 520, 60, 100 Answer: 612𝜋 Answer: 711𝜋 Answer: 850° Answer: 99712 Answer-1085° Answer: 11492(𝜋-2) Answer: 123𝜋 Answer: 13cosA=-45andtanA=34 Answer: 1412 Answer: 15-12 Answer: 1612 Answer: 17 -1 Answer: 180 Answer: 19-12 Answer: 20-12 Answer: 2112