Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Trigonometry function( sine, cosine, tangent) |
Grade: 10-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)\$ \$1/\sqrt(2) + 1/\sqrt(2) - 1\$ \$2 / \sqrt(2) - 1 \$ |
4 |
Step |
Make it simpler |
\$1/\sqrt(2) + 1/\sqrt(2) - 1\$ \$2 / \sqrt(2) - 1 \$ |
5 |
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)\$ |
6 |
Step |
Take common 2 and make it simplify |
\$ (2 ( sqrt(2) - 1) )/ (2)\$ \$sqrt(2) - 1\$ |
7 |
Step |
Therefore, the value of (sin45° + cos45°) − (sin30° + cos60°)is \$\sqrt(2) - 1\$. |
|
8 |
Choice.A |
Option A is not correct because it represents \$\sqrt(2) - 1\$, which does not match the computed value |
2 |
9 |
Choice.B |
This is the incorrect expression and does not simplify to \$sqrt(2)+1\$ |
\$sqrt(2) +1\$ |
10 |
Choice.C |
The expression is incorrect; it does not simplify to - 2 |
-2 |
11 |
Choice.D |
Simplify this expression correctly to its simplest form: \$\sqrt(2) - 1\$ |
\$sqrt(2) -1\$ |
12 |
Answer |
Option |
D |
13 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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