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Lesson Example Discussion Quiz: Class Homework

Step-5

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	Evaluate the following expression: \$ sin(pi/3) cos(pi/6) + cos(pi/3) sin(pi/6) \$.
2	Step	Let’s evaluate the given expression step by step:	\$ sin(pi/3) cos(pi/6) + cos(pi/3) sin(pi/6) \$
3	Hint	First, let’s use the trigonometric identities:	\$ sin(pi/3) = \sqrt3 / 2 \$ \$ cos(pi/3) = 1/2 \$ \$ sin(pi/6) = 1/2 \$ \$ cos(pi/6) = \sqrt3 / 2 \$
4	Step	Now substitute these values into the expression:	\$ \sqrt3 / 2 times \sqrt3 / 2 + 1/2 times 1/2 \$
5	Step	Simplify further:	\$ 3/4 + 1/4 \$
6	Step	Combine the terms:	\$ 4/4 = 1 \$
7	Step	So, the evaluated value of the expression is 1.
8	Sumup	Can you summarize what you’ve understood in the above steps?
9	Choice.A	This is correct because after the evaluation the result is 1	1
10	Choice.B	This is incorrect because after the evaluation the result is not 1	\$ 1/2\$
11	Choice.C	This is incorrect because after the evaluation the result is not 1	\$ \sqrt3/2\$
12	Choice.D	This is incorrect because after the evaluation the result is not 1	\$ \sqrt 3\$
13	Answer	Option	A
14	Sumup	Can you briefly tell me what you’ve learned and understood in today’s lesson?

Step

Type

Explanation

Answer

Problem

Evaluate the following expression: \$ sin(pi/3) cos(pi/6) + cos(pi/3) sin(pi/6) \$.

Step

Let’s evaluate the given expression step by step:

\$ sin(pi/3) cos(pi/6) + cos(pi/3) sin(pi/6) \$

Hint

First, let’s use the trigonometric identities:

\$ sin(pi/3) = \sqrt3 / 2 \$

\$ cos(pi/3) = 1/2 \$

\$ sin(pi/6) = 1/2 \$

\$ cos(pi/6) = \sqrt3 / 2 \$

Step

Now substitute these values into the expression:

\$ \sqrt3 / 2 times \sqrt3 / 2 + 1/2 times 1/2 \$

Step

Simplify further:

\$ 3/4 + 1/4 \$

Step

Combine the terms:

\$ 4/4 = 1 \$

Step

So, the evaluated value of the expression is 1.

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This is correct because after the evaluation the result is 1

Choice.B

This is incorrect because after the evaluation the result is not 1

\$ 1/2\$

Choice.C

This is incorrect because after the evaluation the result is not 1

\$ \sqrt3/2\$

Choice.D

This is incorrect because after the evaluation the result is not 1

\$ \sqrt 3\$

Answer

Option

Sumup

Can you briefly tell me what you’ve learned and understood in today’s lesson?