[image]

Cosθ= 1

Secθ=¹/₁

Cosθ=0

Secθ=⁰/₁ = Asymptote

When Cosθ= small, Secθ= large

[image]

Sinθ=1

Cosecθ= ¹/₁

Sinθ=0

Cosecθ= ⁰/₁= Asymptote

When Sinθ=small Cosecθ= Large

[image]

y=Cotθ

Cotθ=¹/_y

When Tanθ=0, Cotθ= Asmyptote

When Tanθ=Small, Cotθ= Large

This means y=Sin^-1θ

[image]

Sin^-1(1)=90

 Sin^-1(0)=0

Sin^-1(-1)= -90

This function is only defined between -1≤x≤1

Draw y=Arccosθ

This is Cos^-1θ

[image]

Cos^-1(0)=90

Cos^-1(1)=0

Cos^-1(-1)=180

This curve is only defined between -1≤x≤1

This is Tan^-1θ

[image]

Tan^-1(0)=(0)

Tan^-1(x)≠(90)

Tan^-1(x)≠(-90)

NB: Since tan=^o/_a, Tan(90) is undefined