How do you prove #sin 5pi/12 = sin pi/6 cos pi/4 + cos pi/6 sin pi/4#?

1 answer:

6 0

You rewrite 5π/12 as 2π/12 + 3π/12 since 2 + 3 = 5.
Then you simplify the fractions into π/6 + π/4.
Then you use the sine addition identity.

sin(5π/12) = sin(π/6 + π/4) = sin π/6 cos π/4 + cos π/6 sin π/4

You might be interested in

If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?

IRINA_888 [86]

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

6 0

3 years ago

Sally is buying new school supplies. She used a 15% off coupon on a set of markers that was originally $3.00. She also bought so

fenix001 [56]

The original price of the paper was $3.50

I hope this helps! let me know if you need help with anything else! I'd be happy to help you in anyway I can! :)

6 0

3 years ago

Abbie, Beth, Carl, Diego, and Elena are waiting in line. Use the following information to figure out which of the five is first

zlopas [31]

Abbie is not next to Elena or Carl

5 0

3 years ago

Please answer this. thanksssss

Sunny_sXe [5.5K]

Answer:the answer is A my friend ;)

Step-by-step explanation:

4 0