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Class 10 Introduction to Trigonometry worksheet
CBSE Mathematics. Ratios, standard angles, identities, heights and distances. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The value of sin 45° is:
- 1/√2
- 0
- √3
- 1/√3
Answer
(a) 1/√2
standard value: sin 45° = 1/√2
- 2.
In △ABC, right-angled at B, AB = 180 cm, BC = 33 cm and AC = 183 cm. sin A equals:
- 60/11
- 60/61
- 61/11
- 11/61
Answer
(d) 11/61
sin A = BC/AC = 11/61
- 3.
If tan A = 5/12, then cos A equals:
- 13/12
- 13/5
- 12/13
- 12/5
Answer
(c) 12/13
sides in the ratio 5 : 12 : 13 (opposite : adjacent : hypotenuse)
Section B · short answer
- 4.
If sin A = 4/5, find cos A and tan A.
Answer
cos A = 3/5, tan A = 4/3
adjacent = √(5² − 4²) = 3
- 5.
Evaluate: (sin² 0° + 2 cos² 60°) ÷ (cos² 30°)
Answer
2/3
1/2 ÷ 3/4 = 2/3
Section C · long answer
- 6.
From a point on the ground 15 m from the foot of a tower, the angle of elevation of its top is 30°. Find the height of the tower.
Answer
5√3 m
height = 15 × tan 30° = 15 × 1/√3
Fresh sheets for your child
In the app, every Introduction to Trigonometry sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.