Simplify Using Trig Identities

Simplify this to a basic trigonometry function:
tan(x)csc(x) 

• tanx

• secx

• cotx

• cscx

sec²x −1

• sin²x

• cos²x

• tan²x

• cot²x

Simplify sin²(x) - cos(x)sec(x)

• sec²(x)

• cos²(x)

• -cos²(x)

• -sec²(x)

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSF.TF.C.8

Simplify:  tanxcotx-cos²x

• tanx

• cotx

• sin²x

• cos²x

Answer explanation

To simplify tanx*cotx-cos^2x, we know that tanx*cotx = 1 and cos^2x = 1-sin^2x. Therefore, the expression simplifies to sin^2x.

• csc²θ
• sec²θ
• cscθ
• 1

sin²x + cos²x =

• 1

• 1/sinx

• sec²x

• csc²x

Solve the following for cos²θ:
sin²θ + cos²θ = 1

• cos²θ = 1 - sin²θ

• cosθ = 1 + sin²θ

• cosθ = 1 - sinθ

• cos²θ = Adj/hyp

• -1

• sin θ

• csc θ

• 1