Survey

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

Document related concepts

Pythagorean theorem wikipedia , lookup

Trigonometric functions wikipedia , lookup

Transcript
```Warm-Up 1
Find the value of x.
Warm-Up 1
Find the value of x.
Trigonometric Ratios I
Objectives:
1. To discover the three main trigonometric
ratios
2. To use trig ratios to find the lengths of
sides of right triangles
Summary

A
B
side opposite Θ
C
sin  opposite
hypotenuse
hypotenuse
tan  opposite
SohCahToa
Soh
sin  opposite
hypotenuse
Cah
hypotenuse
Toa
tan  opposite
Example 3
Find the values of the six trig ratios for α and
β.
Activity: Trig Table
Step 5: Finally, let’s check your values with
those from the calculator.
For sin, cos, and tan
1. Make sure your calculator is set to DEGREE in the
2. Use one of the 3 trig keys. Get in the habit of
closing the parenthesis.
Example 4
To the nearest meter,
find the height of a
right triangle if one
acute angle
measures 35° and
measures 24 m.
Example 5
To the nearest foot, find the length of the
hypotenuse of a right triangle if one of the
acute angles measures 20° and the
opposite side measures 410 feet.
Example 6
Use a special right triangle to find the exact
values of sin(45°) and cos(45°).
Example 7
Find the area of a
regular octagon
with a side length
of 6 inches.
Example 8
Find the value of x to the nearest tenth.
1. x =
2. x =
3. x =
Find the values of 𝑤 and 𝑥
Challenge Problem
• Make a conjecture about how the sine and
cosine of 30° angle are related.
Challenge Problem
• Make a conjecture about how the sine and
cosine of 60° angle are related.
Challenge Problem
• Square ABCD in the diagram at the right has side length
of 1, and midpoints of its sides are labeled P, Q, R, and
S. Find the length of a side of the shaded square
```
Related documents