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Algebra 2 › Fundamental Trig Identities — Pythagorean, Reciprocal, Quotient
Algebra 2 · F-TF
Fundamental Trig Identities — Pythagorean, Reciprocal, Quotient
sin²θ + cos²θ = 1; tan θ = sin θ/cos θ; csc θ = 1/sin θ; sec θ = 1/cos θ; cot θ = 1/tan θ.
Algebra 2Common Core HSF-TF.C.8F-TFVerified correct ✓
Worked examples
Evaluate sin²(30°) + cos²(30°). Use the Pythagorean identity to simplify, then give the numeric value.
Answer: 1
Evaluate sin(60°) / cos(60°) using the quotient identity. Round to 4 decimal places.
Answer: 1.7321
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