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How to find the missing angle sin-1 COs-1 TAn-1

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M N K 5 13 12 Finding Angles of Triangles Trig functions give you ratios, which can be used to determine the degree measures of the acute angles ... right triangle ... – PowerPoint PPT presentation

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Title: How to find the missing angle sin-1 COs-1 TAn-1

1
How to find the missing anglesin-1COs-1TAn-1
• Inverse Trig Functions

2
Ex 1 Find the sine, cosine, and tangent of M
and K round to 4 decimal places.
3
Finding Angles of Triangles
• Trig functions give you ratios, which can be used
to determine the degree measures of the acute
angles of a right triangle. Using any inverse
function on the calculator.
• Ex. Find ltM and ltK
• find ltM use sin-1, cos-1 or tan-1
sin-1(.9231) 67.4
• cos-1(.3846) 67.4
• tan-1(2.4) 67.4

4
Ex. 2 Find the angles to the nearest tenth.
1. Cos B .5682 mltB _____
2. Sin C .4892 mltC _____
3. Tan A 3.6589 mltA _____
4. Sin K .6892 mltK _____
5. Cos J .1247 mltJ _____
6. Tan P 5.2467 mltP _____

5
Ex 3 Find the measure of angle T.
6
Ex 4 Find the measure of angles P and R.
7
Ex 5 Find the measure of angles J and K.
L
J
K
8
Ex. 6 Find the measure of angles A and P.
A
P
G
9
Ex. 7 Solve the right triangle. Round to nearest
tenth.
21
10
Ex. 8 Solve the right triangle. Round to nearest
tenth.
6
11
Ex. 9 Solve the right triangle. Round to nearest
tenth.
B
A
C
12
Ex. 10 Solve the right triangle. Round to
nearest tenth.
K
J
L
13
Ex. 11 Solve the right triangle. Round to
nearest tenth.
S
R
T
14
Ex. 12 Ramp
• You are designing a ramp where the horizontal
distance is triple the vertical rise. What will
be the ramp angle to the nearest tenth of a
degree?

15
Homework
• Worksheet