EASY
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An angle which is greater than 180° but less than 360° is known as

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Important Questions on Introduction to Trigonometry

MEDIUM
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC=144°. Then angle BAC is equal to: π=227
MEDIUM
In ABCAB and AC are produced to points D and E, respectively. If the bisectors of CBD and BCE meet at the point O, and BOC=57°, then A is equal to _____.
HARD
The bisector of A in ABC meets BC in D. If AB=15 cm, AC=13 cm and BC=14 cm, then DC=?
EASY
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ADC = 140°. Then BAC is equal to_____.
MEDIUM

 Study the following question and decide that which of the following information is sufficient to answer the question? What is the value of ACB ?

Information:

1. Question Image

2.D=600

MEDIUM
Side AB of a triangle ABC is 80 cm long, whose perimeter is 170 cm. If angle ABC=60°, the shortest side of triangle ABC measures (in cm):
MEDIUM

In PQR, Q>R, PS is the bisector of P, and PTQR. If SPT=28° and R=23°, then the measure of Q is:

EASY
The ratio between a base angle and a vertical angle of an isosceles triangle (base angles being equal) is 2:5. The vertical angle is _____.
MEDIUM

In ABC, AD is the median and G is a point on AD such that AG:GD=2:1. Then area (BDG):area (ABC) is equal to:

EASY

In ABC, if AB=AC and BAC=40, then the measure of B is:

Question Image

EASY
A unique circle can always be drawn through x number of the given non-collinear points, then x must be:
EASY

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

Question Image

(II) 0 < q < 90°

MEDIUM
The perimeter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
MEDIUM
Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is 513 cm. What is the distance (in cm) between the chords?
MEDIUM

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In the triangle given above, ADB=90o, ABC=45o, AD=10 cm, AC=20 cm. The length of BC is:

MEDIUM
In a circle with centre O, ABCD is a cyclic quadrilateral and AC is the diameter. Chords AB and CD ae produced to meet at E.If CAE=34° and E=30°, then CBD is equal to:
MEDIUM
A circle touches the side BC of ABC at D and AB and AC are produced and the circle is touching it at E and F, respectively.If AB=10 cm, AC=8.6 cm and BC=6.4 cm, then BE=?
MEDIUM
The sides PQ and PR of PQR are produced to points S and T, respectively. The bisectors of SQR and TRQ meet at U. If QUR=59°, then the measure of P is _____.
EASY

In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

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MEDIUM
Let P be a closed polygon with 10 sides and 10 vertices (assume that the sides do not intersect except at the vertices). Let k be the number of interior angles of P that are greater than 180o. The maximum possible value of k is