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Trigonometry

Pythagorean Thereom or Trigonometry? (B) WORKSHEET

Suitable for Grades: Geometry, IM 2
CCSS: HSF.TF.A.3, HSG.SRT.C.8
CCSS Description: (+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Pythagorean Thereom or Trigonometry? (B) WORKSHEET DESCRIPTION

Once students are comfortable using Pythagoras’ theorem and trigonometry in right angled triangles, use this worksheet to help them decide which method they should use to solve different problems.

Students will determine whether they should use Pythagoras’ theorem, the sine, cosine, tangent ratio or neither in order to find x in 16 different questions. Questions include calculating missing lengths and angles, finding the perimeter and area of isosceles triangles, calculating a missing angle in a trapeziod and showing that a triangle has a right angle.

As an extension, students are asked to go back to find x, a nice revision or end of unit exercise.

Pythagorean Thereom or Trigonometry? (B) Worksheet Suitable for Students in Geometry and IM 2

Frequently Asked Questions

This pythagorean thereom or trigonometry? (b) worksheet is designed for students in Geometry and IM 2 and aligns with Common Core State Standards.