Trigonometric identities

The Pythagorean identity and the quotient identities, used to simplify and to find one ratio from another.

Standards:F-TF.C.8

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Simplify: sin²(θ) + cos²(θ) + tan²(θ) − sec²(θ)

Question 2 of 3

Simplify: sin²(θ) + sin²(θ)·cot²(θ)

Question 3 of 3

Simplify: (1 − sin²θ) / cos²θ

How this fits in

Trigonometric identities is one skill in the Trigonometry unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

Sine, cosine, and tangent ratios
Solving right triangles
Special right triangles
Angles of elevation and depression
Radians and degrees
The unit circle
Graphs of sine and cosine
Law of Sines and Law of Cosines

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