Lesson 182: Right Triangle Trigonometry
tan cos sin and 60 3 2 1 60 2 3 60 °= °= °= tan cos sin Exact Trigonometric Ratios for 45° The sides of any isosceles right triangle are in the fixed ratio of 1:1: 2 From this triangle we see that 45 1 2 1 45 2 1 45 °= °= °= tan cos sin Exact Trigonometric Ratios for 0° and 90° With a little bit of imagination we can conceptually
Trig Cheat Sheet - Lamar University
cos hypotenuse q= hypotenuse sec adjacent q= opposite tan adjacent q= adjacent cot opposite q= Unit circle definition For this definition q is any angle sin 1 y q==y 1 csc y q= cos 1 x q==x 1 sec x q= tan y x q= cot x y q= Facts and Properties Domain The domain is all the values of q that can be plugged into the function sinq, q can be any
TRIGONOMETRY
Right Triangle Definitions Circular Definitions Other Identities sin cos tan sec csc opp adj hyp hyp sin cos tan cot cos sin 11 sec csc
Algebra2/Trig Chapter 9 Packet
Day 1: Right Triangle Trigonometry Trigonometry means “triangle measure” From now on, the vertices of a right triangle will always be named with a capital letter The side opposite each vertex will have the same letter, but lower-case c The three trig functions we will start with are sine (sin), cosine (cos), and tangent (tan ) The Sine Ratio
Trigonometric Identities - Miami
1+cos tan 2 = 1 cosx sinx tan 2 = sin 1+cos Double-Angle Formulas sin2 = 2sin cos cos2 = cos2 sin2 tan2 = 2tan height of the triangle is h= bsinA Then
Sine, Cosine, and Tangent Practice
7) sin 62° 8) sin 14° 9) cos 60° 10) cos 31° 11) tan 79° 12) tan 25° Find the missing side Round to the nearest tenth 13) x 59° 17 14) x 17 60° 15) x 20 27° 16) 10 x 51° 17) 20 x 40° 18) x 12 53°-2-
Right Triangle Trigonometry - BMCC OpenLab
Rewrite the expression in terms of sin θ and cos θ 3) tan θ(cot θ - cos θ) A) -sec2 θ B) 0 C) 1 D) 1 - sin θ 3) 4) tan θ sec θ A) sec2 θ B) cos3 θ C) sin θ D) tan2 θ 4) 5) cos θ tan θ A) cot θ B) cos θ C) 1 D) sin θ 5) Use the fundamental identities to simplify the expression 6) sin2θ + tan2θ + cos2θ A) sin θ B) tan2θ C
Math 1330 - Section 41 Special Triangles
Suppose we are given a right triangle, ABC where ∠C =90° We define the trigonometric functions of either of the acute angles of the triangle as follows: Sine Function: length of the side opposite sin length of hypoteneuse θ θ= Cosine Function: length of the side adjacent to cos length of hypoteneuse θ θ= Tangent Function: θ θ θ
Trigonometry Formulas and Properties
sin ???????? cos????????= 1 sec???????? sec????????= 1 cos ???????? tan ????????= 1 cot ???????? cot ????????= 1 tan???????? Trigonometry Formulas and Properties Tangent and Cotangent Identities: tan ????????= sin???????? cos???????? cot = cos ???????? sin???????? Pythagorean Identities: sin2????????+ cos2????????= 1 tan2????????+ 1
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