To find trigonometric functions first draw point in figure for better uderstanding
\From above figure, take angle at point (-3 , 4)
\Opposite = 3
\Adjacent = 4
\Hypotenuse =
Hypotenuse = 5
\⇒ Formula for sine function
Substitute Opposite = 3 and Hypotenuse = 5
\⇒ Formula for cos function
Substitute Adjacent = 4 and Hypotenuse = 5
\In second quadrant (Q₂), cosθ is negative
\⇒ Formula for tan function
Substitute Opposite = 3 and Adjacent = 4
\In second quadrant (Q₂), tanθ is negative
\⇒ Formula for sec function
Substitute Adjacent = 4 and Hypotenuse = 5
\In second quadrant (Q₂), secθ is negative
\Solution :
\Required trigonometric functions are
\ ,
,
and