Simplifying Trig Expressions

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²x + cos²x = 1

Front

What is the definition of tangent in terms of sine and cosine?

Back

tan x = sin x / cos x

Front

What is the relationship between secant and cosine?

Back

sec x = 1 / cos x

Front

What is the relationship between cosecant and sine?

Back

csc x = 1 / sin x

Front

What is the relationship between cotangent and tangent?

Back

cot x = 1 / tan x

Front

Simplify: 1 - (sec²x - tan²x)

Back

0

Front

Simplify: sin²x + cos²x

Back

1

Front

What is the double angle formula for sine?

Back

sin(2x) = 2sin(x)cos(x)

Front

What is the double angle formula for cosine?

Back

cos(2x) = cos²(x) - sin²(x) or cos(2x) = 2cos²(x) - 1 or cos(2x) = 1 - 2sin²(x) depending on the context.

Front

What is the value of sec²x - tan²x?

Back

1