Question

Let (−5,3) be a point on the terminal side of θ . Find the exact values of cosθ , secθ , and cotθ .

Answer 1

Let's find the value of the hypotenuse AB = 25+9 = 24 and AB =√34

cos Ф =-5/√34
sin Ф = 3/√34

sec Ф = √34/(-5)

cot Ф = sin Ф/cos Ф = (3/√34)/(-5/√34)

Answer 2

given below

Explanation:

given point (−5,3)

using Pythagoras theorem

H² = B² + L²

H² = (-5)² + (3)²

H = √34

now we can see that

Cos θ =
`(B)/(H)`

Cos θ =
`(3)/(√(34))`

Sec θ =
`(H)/(B)`

Sec θ =
`(√(34))/(3)`

cot θ =
`(B)/(P)`

cot θ =
`-(5)/(3)`