2 years ago

1) Simplify the following expressions: a) sin²108° + sin² 18°

Mathematics

1 answer:

abruzzese [7]2 years ago

8 0

Note that

108° = 90° + 18°

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

You might be interested in

Explain you can use the whole number expression 248 divided by 4 to check that your answer to exercise 2 is reasonable

ella [17]

248/4 = 62
to check if you are right
you do
62*4= 248
or you can do
248/62= 4
You can check in both way

6 0

3 years ago

Which of the following sets of ordered pairs is a function?

Ulleksa [173]

Answer:

(1,5) (2,6) (3,7) (4,8)

8 0

2 years ago

Alvin is 11 years younger than tiffiny the sum of their ages is 79 what is tiffinys age?

Serhud [2]

Answer:

Tiffany should be 68 years

5 0

2 years ago

Read 2 more answers

X+2(x+3(x+4(x+5)))=153

Allushta [10]

Answer:

$x=1$

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

$4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1$

3 0

2 years ago

if the total value of the coins is 71$ and she has 9 rolls of dimes, how many rolls of nickels does she have?

Zanzabum

Answer:

18 rolls of nickles

Step-by-step explanation:

One roll of dimes would be the same value as 2 rolls of nickles. If she has 9 rolls of dimes, she would have 18 rolls of nickles.

Dont forget to thanks and rate!

4 0

3 years ago

1) Simplify the following expressions: a) sin²108° + sin² 18° ​

1) Simplify the following expressions: a) sin²108° + sin² 18°