ASSIGNMENT No. 1
(Units 1–9)
Q.1 a) An arc subtends an angle of 700 at a center of a circle of radius 108 mm. Find its length.
b) Reduce
4
Cos
to an expression involving only function of multiplies of
, raised to the first
power.
Q.2 a) Solve graphically
tan cot , [ , ]x x x
.
b) The angle of elevation of a string of a flying kite is 600 and the height of the kite above the
ground, taking the string to be fully stretched, is 173.2 m. What is the length of the string at
angle 600.
Q.3 a) If in a triangle
, 5, 7ABC b c
and
0
120
then by using cosine and sine law, solve
the triangle?
b) If measures of the sides of a triangle ABC are 20, 13 and 24. Find
1 2 3,
, , ,R r r r and r
using the
suitable formulae.
Q.4 a) Draw the graph of
1
cot .yx
for
2.y
b) Solve the equation
21Cos x Sinx
Q.5 a) From top of the cliff 80m high, a boat is 376m for. What is the angle of depression of the boat
from top?
b) Using Hero’s formula, find the area of triangle ABC in which a = 35.5, b= 47.7 and c = 58.8.
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