Trigonometric Functions and Values

These flashcards cover the basic definitions and values of sine, cosine, and tangent functions at key angles.

sin 𝜃

Opposite side over hypotenuse in a right triangle.

cos 𝜃

Adjacent side over hypotenuse in a right triangle.

tan 𝜃

Opposite side over adjacent side in a right triangle.

sin 0

0.

cos 0

1.

tan 0

0.

sin 𝜋/6

1/2.

cos 𝜋/6

√3/2.

tan 𝜋/6

√3/3.

sin 𝜋/4

√2/2.

cos 𝜋/4

√2/2.

tan 𝜋/4

1.

sin 𝜋/3

√3/2.

cos 𝜋/3

1/2.

tan 𝜋/3

√3.

sin 𝜋/2

1.

cos 𝜋/2

0.

tan 𝜋/2

undefined.

sin 2𝜋/3

√3/2.

cos 2𝜋/3

−1/2.

tan 2𝜋/3

−√3.

sin 3𝜋/4

√2/2.

cos 3𝜋/4

−√2/2.

tan 3𝜋/4

−1.

sin 5𝜋/6

1/2.

cos 5𝜋/6

−√3/2.

tan 5𝜋/6

−√3/3.

sin 𝜋

0.

cos 𝜋

−1.

tan 𝜋

0.

sin 7𝜋/6

−1/2.

cos 7𝜋/6

−√3/2.

tan 7𝜋/6

√3/3.

sin 5𝜋/4

−√2/2.

cos 5𝜋/4

−√2/2.

tan 5𝜋/4

1.

sin 4𝜋/3

−√3/2.

cos 4𝜋/3

−1/2.

tan 4𝜋/3

√3.

sin 3𝜋/2

−1.

cos 3𝜋/2

0.

tan 3𝜋/2

undefined.

sin 5𝜋/3

−√3/2.

cos 5𝜋/3

1/2.

tan 5𝜋/3

−√3.

sin 7𝜋/4

−√2/2.

cos 7𝜋/4

√2/2.

tan 7𝜋/4

−1.

sin 11𝜋/6

−1/2.

cos 11𝜋/6

√3/2.

tan 11𝜋/6

−√3/3.