G.35

Discover and apply relationships in similar right triangles.

G.35.aDerive and apply the constant ratios of the sides in special right triangles (45˚-45˚-90˚ and 30˚-60˚-90˚).G.35.bUse similarity to explore and define basic trigonometric ratios, including sine ratio, cosine ratio, and tangent ratio.G.35.cExplain and use the relationship between the sine and cosine of complementary angles.G.35.dDemonstrate the converse of the Pythagorean Theorem.G.35.eUse trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems, including finding areas of regular polygons.
Khan Academy Resources
Intro to inverse trig functionsSolving for a side in right triangles with trigonometryAngles of elevation and depressionTrigonometric ratios in right trianglesRight triangle trigonometry reviewSpecial right triangles reviewHypotenuse, opposite, and adjacentSolve for a side in right trianglesSpecial right trianglesTrigonometric ratios in right trianglesPythagorean theorem challengeUse ratios in right trianglesRelate ratios in right trianglesTrig values of special anglesSolve for an angle in right trianglesTrig values of π/6, π/4, and π/3Right triangle trigonometry word problemsTrig identities from reflections and rotationsSolving for a side in right triangles with trigonometryTrigonometric ratios in right trianglesSpecial right triangles proof (part 2)Special right triangles proof (part 1)30-60-90 triangle example problemArea of a regular hexagonMulti-step word problem with Pythagorean theoremSine & cosine of complementary anglesTrig values of π/4Right triangle word problemCosine, sine and tangent of π/6 and π/3Using right triangle ratios to approximate angle measureUsing complementary anglesTrig word problem: complementary angles
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