Trigonometry Chapters

Theorem

The opposite sides of a triangle are the same length Using the Pythagorean theorem we find the hypotenuse is always n times the square root of 2

Theorem What is the length of the hypotenuse

Theorem What is the length of the hypotenuse

Theorem What is the length of the sides?

Theorem What is the length of the sides? Remember, the hypotenuse is  2 times a side

Divide by  2 Rationalize the Denominator

Theorem

The opposite of the 30 0 angle is n

Theorem The opposite of the 60 0 angle is n  3

Theorem The opposite of the right angle is 2n

Theorem Find the lengths of the other two sides

Theorem Find the lengths of the other two sides

Theorem Find the lengths of the other two sides

Theorem Find the lengths of the other two sides

Theorem Find the lengths of the other two sides First find the length of side opposite the 30

Theorem Call the side x x times  3 = 8

Theorem Hypotenuse is 2 times the side opposite the 30 0 angle

Trigonometry Trigonometric Ratios- – Similar right triangles have equivalent ratios for its corresponding sides

Sine Sine of óB =

Sine Sine of óB =

Sine Sin B =

Cosine Cosine of óB =

Cosine Cosine of óB =

Cosine Cos B =

Tangent Tangent of óB =

Tangent Tangent of óB =

Tangent Tan B =

Trigonometry How to remember the order: Sin x = Cos x = Tan x =

Trigonometry Find the sine, cosine, and tangent ratios of ó B

Sin B = Cos B = Tan B =