Trig Identities Flashcard

Front

What is the reciprocal identity of sin(x)?

Back

csc(x) = 1/sin(x)

Front

What is the reciprocal identity of cos(x)?

Back

sec(x) = 1/cos(x)

Front

What is the reciprocal identity of tan(x)?

Back

cot(x) = 1/tan(x)

Front

What is the Pythagorean identity involving sec(x) and tan(x)?

Back

sec²(x) = 1 + tan²(x)

Front

What is the Pythagorean identity involving csc(x) and cot(x)?

Back

csc²(x) = 1 + cot²(x)

Front

What is the relationship between sin²(x) and cos²(x)?

Back

sin²(x) + cos²(x) = 1

Front

What is the value of sec²(x) - 1?

Back

tan²(x)

Front

What is the value of csc²(x) - 1?

Back

cot²(x)

Front

What is the value of tan²(x) + 1?

Back

sec²(x)

Front

If cos(x) = 1/sec(x), what does this imply?

Back

It implies that cos(x) is the reciprocal of sec(x).