The terminal side of angle A passes through point (-3,4)?

Question

Update : Find Sin, Cos, Tan, and sec 

Answer 1

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