# Class 10 trigonometry worksheet

<1) Write the values  cos 0, cos 45, cos 60 and cos 90. What happens to the values of cos  increases from 0 to 90?
2) Write the values of sin 0, sin 30, sin 45, sin 60 and sin 90. What happens to the values of sin  increases from 0 to 90?
3) Write the values of tan 0, tan 30, tan 45, tan 60 and tan 90. What happens to the values of tan  increases from 0 to 90?
4) If sin A =3/5  find cos A and tan A.
5) If cosec A =√10  find other five trigonometric ratios.
6) In a right triangle ABC right angled at B if sin A =3/5  find all the six trigonometric ratios of <C.
7) The value of (sin30° + cos30°) – (sin60° + cos60°) is
8)  True and False statement
a) The value of sinθ + cosθ is always greater than 1
b) tanθ increases faster than sinθ as θ increase
c) The value of the expression (cos2 23° – sin2 67°) is positive.
d)  The value of the expression (sin 80° – cos80°) is negative.
e) If cosA + cos2A = 1, then sin2A + sin4A = 1.
f). (tan θ + 2) (2 tan θ + 1) = 5 tan θ + sec2θ.
g) If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is also increasing.
h) If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.
i) If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top remains unchanged
j) cos4 A – cos2 A = sin4 A – sin2 A
k)cot4 A – 1 = cosec4 A – 2cosec2 A
l) sin4 A + cos4 A = 1 – 2 sin2 A cos2 A
m) sin4 A – cos4 A = sin2 A – cos2 A = 2sin2 A – 1 = 1 – 2 cos2 A
9) If sin B = , show that 3 cos B – 4 cos3 B = 0.
10) If tanA + 1/tanA = 2, find the value of tan2A + 1/tan2A
11) Evaluate the following:
2 sin2 30 - 3cos2 45 + tan2 60
12) Evaluate:
sin2 30 cos2 45 + 4tan2 30 + (1/2) sin2 90- 2 cos2 90 + (1/24) cos2 0

13) Evaluate:
cot2 30 - 2 cos2 60 - (3/4) sec2 45 - 4sec2 30
14) Prove that:
cos 1o cos 2o cos3o…. cos 180o = 0
4) 2√6/7
5)1/√10,3/√10,1/3,√10/3,3
6) 4/5, 3/5, 4/3, 5/4, 5/3, ¾
7) 0
8)
a) false
b) true
c) false
d) false
e) true
f) false
g) false
h) false
i) true
j) true
k) true
l) true
m) true
9) 1/2
10) 2
11) 2
12) 2
13) -13/3

Reference Books for class 10

Given below are the links of some of the reference books for class 10 math.

You can use above books for extra knowledge and practicing different questions.

### Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20