# Questions on Solving Simple Trigonometric Equations

 Multiple choice questions on solving simple trigonometric equations with answers at the bottom of the page. Question If 0 < t < 2π such that sin t = √2 / 2 and cot t < 0, then t = ? a) π / 4 b) 5 π / 4 c) 7 π / 4 d) 3 π / 4 Question If 0 < t < 2π and sin t = - 1, then t = a) π / 2 b) 3 π / 2 c) 5 π / 4 d) π Question If - 2π < t < 0 and sin t = - 1 / 2, then t = a) -5 π / 6 b) -7 π / 6 c) - 5 π / 4 d) - 5 π / 3 Question If 0 < α < π and cos α = -√3 / 2, then α = a) π / 6 b) - π / 6 c) 7 π / 6 d) 5 π / 6 Question Find all values of t such that sin(t) = 0. a) t = kπ/2 ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... b) t = kπ/4 ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... c) t = kπ ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... d) t = 2 kπ ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... Question Find all values of t such that cos(π t) = 1. a) t = 2 k π ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... b) t = 2 k ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... c) t = k ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... d) t = k π ; k = 0, ~+mn~ 1, ~+mn~ 2, ~+mn~ 3,... Question Find all angles θ such that -2π < θ < 2π and cos θ = √2 / 2 a) {-7 π / 4, - π / 4 , π / 4 , 7 π / 4} b) {- π / 4, - 3 π / 4 , π / 4 , 3 π / 4} c) {-5 π / 4, π / 4 , 3 π / 4} d) {π / 4 , π / 4 , 3 π / 4} ANSWERS d) b) a) d) c) b) a)