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.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Converting customary units worksheet
Customary units worksheet
Integers and absolute value worksheets
Nature of the roots of a quadratic equation worksheets
Trigonometry heights and distances
MATH FOR KIDS
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
Converting repeating decimals in to fractions