TRIGONOMETRIC FUNCTIONS OF QUADRANTAL ANGLES WORKSHEET

(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 

Solution

(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

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