trigonometric equations with miss hayat

0 and π

3π/4 and 7π/4

π/4 and 5π/4

3π/4 and 5π/4

θ = π /4, 7π /4

θ = π /4, 3π /4

θ = 3π /4, 5π /4

θ = π/4, 3π/4, 5π/4, 7π/4

π/6; 11π/6

π/6

11π/6

π/3; 11π/3

divide tanx from both sides

factor out tanx

subtract 2 tanx from the left and then factor tanx out

cancel sin²x out

True

False

(sec x)(secx − 2)

(secx − 2)(secx − 1)

(secx − 2)(secx + 1)

(secx + 2)(secx − 1)

 $\frac{\pi}{18},\frac{5\pi}{18},\frac{13\pi}{18},\frac{17\pi}{18},\frac{25\pi}{18},\frac{29\pi}{18}$  

 $\frac{\pi}{18},\frac{5\pi}{18},\frac{25\pi}{18},\frac{29\pi}{18}$  

 $\frac{\pi}{12},\frac{5\pi}{12},\frac{13\pi}{12},\frac{17\pi}{12},\frac{25\pi}{12},\frac{29\pi}{12}$