Trigonometric Functions of Quadrantal Angles Worksheet :
Here we are going to see some practice questions on trigonometric functions of quadrantal angles.
(1) Find the values of
(i) sin 480° (ii) sin (-1110°) (iii) cos 300°
(iv) tan 1050° (v) cot 660° (vi) cot 19π/3
(vii) sin (-11π/3) Solution
(2) (5/7, 2√6/7) is a point on the terminal side of an angle θ in standard position. Determine the trigonometric function values of angle θ.
(3) Find the values of other five trigonometric functions for the following:
(i) cos θ = −1/2, θ lies in the III quadrant. Solution
(ii) cos θ = 2/3, θ lies in the I quadrant. Solution
(iii) sin θ = −2/3, θ lies in the IV quadrant. Solution
(iv) tan θ = −2, θ lies in the II quadrant. Solution
(v) sec θ = 13/5, θ lies in the IV quadrant Solution
(4) Prove that
[cot (180° + θ) sin (90° - θ) cos (- θ)] / [ sin (270° + θ) cot (180° + θ) tan (- θ) cosec (360° + θ) = cos2 θ cot θ
(5) Find all the angles between 0° and 360° which satisfy the equation sin2 θ = 3/4. Solution
(6) Show that sin2 π/18 + sin2 π/9 + sin2 7π/18 + sin2 4π/9 = 2. Solution
After having gone through the stuff given above, we hope that the students would have understood ho to find the values of trigonometric functions of quadrantal angles.
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