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Vladimir79 [104]
3 years ago
14

I don’t know understand it or know how to solve it.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0
I have written everything down on the paper including explanations, you can ask if you are unsure about anything.

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Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
Read 2 more answers
How do u multiply exponents
Ymorist [56]
So, by multiplying the exponents, you would add all of the square roots together. For example for your question you would add 1+1+4+5=11 so the answer is c to the power of 11
4 0
3 years ago
Read 2 more answers
Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that
77julia77 [94]

Answer:

Here Is Your Answer $58(20)

4 0
3 years ago
Mrs. Duncan measured the lengths of a crayon and a pencil. The pencil is double the length of the crayon. The sum of their lengt
Margarita [4]

Answer: The length of pencil is 16 centimetres and length of crayons is 8 centimetres

Step-by-step explanation:

Let the length of crayon =x

Length of a pencil =2x

As according to question that the sum of their length is 24 centimetres

So we have

x+2x=24\\\\\Rightarrow 3x= 24 \\\\\Rightarrow x= \dfrac{24}{3} =8

Therefore the length of crayon = 8 centimetres

Length of pencil= 2x= 2\times x = 2\times 8 =16 centimetres

Hence, the length of pencil is 16 centimetres and length of crayons is 8 centimetres

8 0
3 years ago
2.943 × 10-² (negative 2nd power) what is the quotient
Leni [432]
2.943 × 10-²

= <span>2.943
----------
    10²</span>
8 0
3 years ago
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