Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Trigonometry function( sine, cosine, tangent) |
Grade: 1400-a Lesson: S3-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Find the value of (sin 45° + cos 45°) – (sin 30° + cos 60°). |
|
2 |
Step |
The given values are |
(sin 45° + cos 45°) – (sin 30° + cos 60°) |
3 |
Step |
Simplify the equation |
\$1/\sqrt(2) + 1/\sqrt(2) - ( 1/2 + 1/2)\$ |
4 |
Step |
Make it simpler |
\$1/\sqrt(2) + 1/\sqrt(2) - 1\$ |
5 |
Step |
After simplification |
\$2 / \sqrt(2) -1 \$ |
6 |
Step |
Do rationalisation and after simplification |
\$(2 / \sqrt(2)) times (\sqrt (2)/ \sqrt(2)) - ((1 times \sqrt(2))/ (\sqrt(2)))\$ \$2 \sqrt(2) / 2 -1 \$ \$2\sqrt(2) - 2 / (2)\$ |
7 |
Step |
Take common 2 |
\$2 ( sqrt(2)) -1 / (2)\$ |
8 |
Step |
After simplifaction |
\$sqrt(2) -1\$ |
9 |
Step |
Therefore, the value of (sin45°+cos45°)−(sin30°+cos60°)is \$\sqrt(2) -1\$. |
|
10 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
11 |
Choice.A |
This is incorrect the expression does not simplify to 2 |
2 |
12 |
Choice.B |
This is the incorrect expression and does not simplify to \$sqrt(2)+1\$ |
\$sqrt(2) +1\$ |
13 |
Choice.C |
This is incorrect the expression does not simplify to -2 |
-2 |
14 |
Choice.D |
This is the correct expression simplify to \$sqrt(2) -1\$ |
\$sqrt(2) -1\$ |
15 |
Answer |
Option |
D |
16 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 22-May-2024 09:20AM EST