Question

1. Diketahui : tan x = p
180° < x ≤ 270°

tentukan :
a. sin x
b. cos x
c. sec x
d. cosec x
e. cot x
f. sin (90° - x)
g. cos (90° - x)

Fast respon ya! senin dikumpulkan

Answer 1

Tan X = p  --> y/x = p/1
misal y = p dan x = 1 --> r = √(1+p²)
dan 180 < X <  270--> x dikuadran III

a) sin X =  - y/r =  - p/√(1+p²)   atau sin X =  -p (1+p²) /(1+p²)
b) cos X = - x/r =  - 1/√(1+p²)
c) sec X = - r/x =  - √(1+p²)
d) cosec X = - r/y = -√(1+p²)/(p)
e) cot X = x/y = 1/p
f) sin (90- X) = cos X =  - 1/√(1+p²)
g) cos (90-X) = sin X = - p/√(1+p²)
..