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Class 11 Trigonometric Functions worksheet
CBSE Mathematics. Radians, arc length, values at any angle, compound and double angles. 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.
60° in radians is:
- 2π/3
- π/3
- −π/3
- π/6
Answer
(b) π/3
× π/180
- 2.
π/3 radians in degrees is:
- 60°
- 120°
- 150°
- 61°
Answer
(a) 60°
× 180/π
- 3.
The value of sec(−585°) is:
- −1/√2
- √2
- 1/2
- −√2
Answer
(d) −√2
−585° is in the second quadrant; reference angle 45°
Section B · short answer
- 4.
Convert (a) 18° into radians, (b) 4π radians into degrees.
Answer
(a) π/10; (b) 720°
180° = π radians
- 5.
In a circle of radius 42 cm, find the angle (in radians and in degrees) subtended at the centre by an arc of length 66 cm. (π = 22/7)
Answer
π/2 radians = 90°
θ = l/r = 66 ÷ 42
Section C · long answer
- 6.
If cos x = 24/25 and x lies in the first quadrant, find (a) sin x, tan x, sec x; (b) sin 2x and cos 2x.
Answer
(a) sin x = 7/25, tan x = 7/24, sec x = 25/24; (b) sin 2x = 336/625, cos 2x = 527/625
sin² x = 1 − cos² x; sign of sin x from the quadrant
Fresh sheets for your child
In the app, every Trigonometric Functions 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.