Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Perceived visual angle wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Trigonometric functions wikipedia , lookup

Transcript
August 29, 2016
5­2: Trigonometric Ratios in a Right Triangle
nu
te
opposite
po
hy
se
• Trigonometry is all about comparing the lengths of two sides of a triangle. • When you compare two numbers, that is a ratio.
θ
Hypotenuse ­ side opposite the right angle
Opposite ­ leg opposite the reference angle
Adjacent ­ leg next to the reference angle
The 6 Trigonmetric Ratios!
Cosine
Secant
Cotangent
Pre­Calculus
e
sinθ = opp/hyp cscθ = 1/sin θ = hyp/opp
us
Cosecant
en
Sine
t
po
Reciprocal Trigonometric Functions
(these are just flipped)
opposite
hy
θ
August 29, 2016
Find the value of the requested function
1.
2.
3.
4.
5. Find the values of the six trigonometric functions for angle A
C
Pythagorean Theorem
8cm
B
Pre­Calculus
15cm
A
In a right triangle, the sum of the 2 legs squared is equal to the hypotenuse squared.
a2 + b2 = c2
August 29, 2016
6. Find the values of the six trigonometric functions for angle B
C
18m
B
33m
A
7.) If cos θ = 2/3, find sec θ
8.) If the csc θ = 1.345, find sin θ
Pre­Calculus
August 29, 2016
9. Are the ratios limited as to how big or small they can be?
10. Is it possible for sin θ = 5/2?
11. Is it possible for csc θ = 4/9
Using your calculator, find the trigonometric ratio rounded to the nearest ten­thousandth.
12. sin 40° 13. cos 75°
14. tan 20°
Reciprocals...flip the function
15. csc 65° 16. sec 35°
Pre­Calculus
17. cot 67°