Trig Identities

Front

What does FOIL stand for in algebraic expressions?

Back

FOIL stands for First, Outside, Inside, Last, which is a method used to multiply two binomials.

Front

What is the reciprocal identity for cosecant (csc)?

Back

csc(x) = 1/sin(x)

Front

What is the Pythagorean identity involving secant?

Back

sec²(x) = 1 + tan²(x)

Front

What is the simplified form of cos²(x) + sin²(x)?

Back

1

Front

What is the result of simplifying (sec(x) - 1)(sec(x) + 1) using the difference of squares?

Back

tan²(x)

Front

What is the definition of secant (sec)?

Back

sec(x) = 1/cos(x)

Front

What is the Pythagorean identity involving cosecant?

Back

csc²(x) = 1 + cot²(x)

Front

What is the relationship between sine and cosine in a right triangle?

Back

sin(x) = opposite/hypotenuse and cos(x) = adjacent/hypotenuse.

Front

What is the formula for the tangent function in terms of sine and cosine?

Back

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

Front

What is the difference between sine and cosine functions?

Back

Sine and cosine functions represent the ratios of sides in a right triangle, with sine being opposite/hypotenuse and cosine being adjacent/hypotenuse.