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Special right triangles and exact trig values worksheets Grade 11

Use the 30-60-90 and 45-45-90 triangles to find exact values.

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How to do it

Use the 30°-60°-90° triangle (1, √3, 2) and the 45°-45°-90° triangle (1, 1, √2). Leave no root in a denominator.

sin⁡30∘=12\sin 30^{\circ} = \dfrac{1}{2}
use the 30∘−60∘−90∘ triangle with sides 1,√3,2\text{use the }30^{\circ}-60^{\circ}-90^{\circ}\ \text{triangle with sides }1, \surd 3, 2

Example problems

  1. cos⁡0∘=\cos 0^{\circ} =
  2. tan⁡45∘=\tan 45^{\circ} =
  3. tan⁡0∘=\tan 0^{\circ} =
  4. tan⁡30∘=\tan 30^{\circ} =

Trigonometry

  1. Right triangle trigonometry: sin, cos and tan
  2. Special right triangles and exact trig values
  3. Converting degrees and radians
  4. The unit circle
  5. Amplitude and period
  6. The Pythagorean identity
  7. Simplifying trig expressions with identities
  8. Solving trigonometric equations
  9. The law of cosines
  10. The law of sines