Simplify Trig Expressions Using Identities

Simplify sin²(x) - cos(x)sec(x)

• sec²(x)

• cos²(x)

• -cos²(x)

• -sec²(x)

When simplifying trig expressions, which of the following strategies could be helpful (check all that apply):

• Convert everything to sine and cosine

• Draw a picture

• Get a common denominator

• Factor

• Give up

• csc²θ

• sec²θ

• cscθ

• 1

• csc x

• tan x + 1

• cot x

• cot x + 1

• 2secθ

• cot²θ

• tan²θ

• sec²θ + 1

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ