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Sedaia [141]
2 years ago
13

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

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Note that

108° = 90° + 18°

so

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.

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Which of the following is an identity? Also, please include an explanation.
Lerok [7]
cot\theta= \frac{ cos \theta}{ sin \theta } \\ sec\theta = \frac{1}{ cos \theta } \\ \\  \\ sin \theta cot\theta sec\theta \\ = sin \theta \cdot \frac{ cos \theta}{ sin \theta } \cdot \frac{1}{ cos \theta } \\ = \frac{ sin \theta}{ sin \theta } =1 \\


sinθcotθsecθ = 1





6 0
3 years ago
WILL GIVE BRAINLIEST
podryga [215]

Answer:

80 pages

Step-by-step explanation:

x = number of pages of articles

x = 110 - (23 + 14/2)

x = 110 - (23 + 7)

x = 110 - 30

x = 80

6 0
3 years ago
WORD PROBLEM
Nina [5.8K]
It costs 2.50 for 1 taco and 4 dollars for 1 burrito
5 0
2 years ago
9+8{7•6-5[4+(3-2•1)]}=?​
34kurt

Answer:

145

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

9+8{7*6-5[4+(3-2*1)}]}

9+8{7*6-5[4+1]}

9+8{7*6-25}

9+8{42-25}

9+136

145

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

5 0
3 years ago
What is the percentage of 198 from $3300 monthly ?
Elenna [48]
25.5% is your answer i believe

8 0
3 years ago
Read 2 more answers
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