The exact values of
sinθ = -12/13
sec θ = 13/5
What is trigonometric ratio?
Trigonometric ratios express the relationships between angles and sides in a right triangle.
Common ratios include sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), and tangent (opposite/adjacent).
Since cotθ is fourth quadrant it means it is only cos that will be positive.
cot θ = -5/12 = adj/opp
opp = 12
adj = 5
hyp = √ 12² + 5²
= √169
= 13
therefore
1. sinθ = opp/hyp
sinθ = - 12/13( sine is negative in fourth quadrant)
2. secθ = hyp/adj
= 13/5 ( sec and cos are positive at the fourth quadrant)