Max. and min. of trigo. expression
If y is the greatest value of
, find y.
5 3 sin
If c is the greatest value of
, find c.
4 2 cos
x is an acute angle satisfying
cos x 5 cos x 2 . Determine the largest
sin x + cos x = 0.2
1992 HI20 1995 HI5
If sin x cos x
and 0 x , find tan x.
If 0 90 and cos sin =
, find the value of cos + sin .
Given that sin cos =
and 0 < < 180. If tan = B, find the value of B.
If cos x + si
Arc and Sector
A wire of c cm is bent to form a sector of radius 1 cm.
What is the angle of the sector in degrees (correct to the
O 1 cm
The given figure shows a circle of radius 18 cm, centre O.
If AOB =
Area same height different bases
In Figure 2, BD = 5, DE 4, EC 3. If the area of
AEC is 24 and the area of ABC is c, find c.
(Figure 2) B
The medians AL, BM, CN of ABC meet at G.
If the area of ABC is 54 cm2 and the area of
In the figure shown, ACDE is a square and
AC = BC, ACB = 90. Find the area of
ABC if the area of ACDE is 10 cm2.
If sin =
If A is the area of a square inscribed in a circle of diameter 10, find A.
If A is th
The area of an equilateral triangle is 4 3 cm2. If its perimeter is d cm, find d.
The perimeter and the area of an equilateral triangle are 12 cm and 3R cm2
respectively. Find R.
The length of a side of
ABCDEF is a regular hexagon and AB 6 cm, AC y 3 cm, find y.
The base of a triangle is 80 cm and one of the base angles is 60. The sum of the
lengths of the other two sides is 90 cm. The length of the shortest side of this
It is given that sin 2 = 2 sin cos .
sin 20 cos 20 cos 40 cos 60 cos 80
Find c, if c =
tan A tan B
. Find d, if
It is given that tan(A + B) =
1 tan A tan B
d = (1 + tan 21)(1 + tan 22)(1 + tan 23)(1 +
As shown in the figure, ABC and XYZ are
equilateral triangles and are ends of a right prism.
P is the mid-point of BY and BP 3 cm, XY 4 cm.
G6.1 If a =
, find a.
G6.2 If CX = b cm, find b.
, find c.
, find d.
The base of a pyramid is a triangle with sides 3 cm, 4 cm and 5 cm. If the height
and volume of the pyramid are q cm and 12 cm3 respectively, find q.
The volume of a sphere with radius r is 36, find r.