Question

sin A + COS A
3.
Given that 4cot A = 3 find
sin A - cos A
a) 5
b) 7
c) 6
d) 3
4.
Evaluate sin 60 cos 30 + sin 30 cos 60"
13
a)
4
b)
c) 1
4
5.
S.
d) None
Find the value of sin? 30° + cos2 60°
1
3
a)
c)
b) 2
2
d) None
4
A chord of a circle of radius 6cm is forming a triangle with an angle 90° at the
centre. Find the length of the chord.
a) 4 cm b) 8 cm
c) 612 cm
d) None
In AXYZ , right angle is at y .YZ = x and XZ = 2x, then
a) ZYXZ = 30° b) ZYXZ = 45° c) ZYZX = 45 d) ZYZX = 45​

Answer 1

Explanation:

3)

4 cotA =3

cotA = 3/4

cotA = adjacent side/opposite side=3/4

hypotenuse =

$\sqrt{ {3 }^{2} + {4}^{2} } = \sqrt{25 } = 5$

sinA = opposite/hypotenuse=4/5

cosA= adjacent/hypotenuse=3/5

sinA-cosA = 4/5 - 3/5 = 1/5

4) sin60 cos30 + sin30 cos60

since, formula Sin(A+B) = sinA cosB + cosA sinB

sin (60+30) = sin90 =1

5)

sin2 30 + cos2 60

sin30 =1/2 ,cos60= 1/2

= (1/2)^2 + (1/2)^2 = (1/4) + (1/4) = 2/4 = 1/2