Advanced Functions (MHF4U) · Trigonometric Functions

Pythagorean and Basic Trigonometric Identities

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MHF4U-TF.2

Sample: the first question, solved

Which equation is the primary Pythagorean identity?

📘 Worked solution
It comes directly from the unit circle definition of sine and cosine: sin²(θ)+cos²(θ)=1.

And one from the hard end

"Given cos(θ)=−5/13, θ in Quadrant III, find sin(θ), tan(θ), and verify sin²+cos²=1."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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