Simplifying Trig. Expressions

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²(x) + cos²(x) = 1

Front

Simplify: sin²(x) + cos²(x)

Back

1

Front

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

Back

tan(x) = sin(x) / cos(x)

Front

Simplify: 1 + tan²(x)

Back

sec²(x)

Front

What is the reciprocal identity for sine?

Back

csc(x) = 1/sin(x)

Front

What is the reciprocal identity for cosine?

Back

sec(x) = 1/cos(x)

Front

What is the reciprocal identity for tangent?

Back

cot(x) = 1/tan(x)

Front

Simplify: cot(x) * tan(x)

Back

1

Front

What is the co-function identity for sine and cosine?

Back

sin(90° - x) = cos(x)

Front

What is the co-function identity for tangent and cotangent?

Back

tan(90° - x) = cot(x)