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vaieri [72.5K]
3 years ago
14

Performance task trigonometric identities

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

#1

\\ \sf\longmapsto cos75°

\\ \sf\longmapsto cos(45+30)°

\\ \sf\longmapsto cos45cos30+sin45.sin30

\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}\times \dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}\times \dfrac{1}{2}

\\ \sf\longmapsto \dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}

\\ \sf\longmapsto \dfrac{\sqrt{3}+1}{2\sqrt{2}}

#2

\\ \sf\longmapsto tan\left(-\dfrac{\pi}{12}\right)

\\ \sf\longmapsto tan(-15°)

\\ \sf\longmapsto \dfrac{sin(-15)}{cos(-15)}

\\ \sf\longmapsto \dfrac{-sin15}{cos15}

\\ \sf\longmapsto -\dfrac{\dfrac{\sqrt{3}-1}{2\sqrt{2}}}{\dfrac{\sqrt{3}+1}{2\sqrt{2}}}

\\ \sf\longmapsto -\left(\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\right)

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A graph is a straight line through the point (0,5). Can the graph represent a proportional relationship?
cupoosta [38]

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

5 0
3 years ago
Can someone please help me with this problem asap
Kitty [74]
Where is the problem at? give me the url

6 0
3 years ago
Can anyone one solve 1 - 6 ?
VashaNatasha [74]

(1)

f(x) + g(x) = 3x + 2 + 2x + 5 = 5x + 7

f(x) - g(x) = 3x + 2 - 2x - 5 = x - 3

(2)

f(x) + g(x) = 4x - 1 + 3x - 4 = 7x - 5

f(x) - g(x) = 4x - 1 - 3x + 4 = x + 3

(3)

f(x) + g(x) = - 5x + 3 + 2x - 4 = - 3x - 1

f(x) - g(x) = - 5x + 3 - 2x + 4 = - 7x + 7

(4)

f(x) + g(x) = 3x - 4 - 2x + 3 = x - 1

f(x) - g(x) = 3x - 4 + 2x - 3 = 5x - 7

(5)

f(x) × g(x) = - 2(- x + 7 ) = 2x - 14

(6)

f(x) × g(x) = - 5(2x - 7) = - 10x + 35



5 0
3 years ago
Read 2 more answers
Set C is the set of two-digit even numbers greater than 34 that are divisible by 5<br><br> C=
amid [387]
In order for it to be divisible by 5 AND be an even number, it must also be divisible by 2. So you are looking for two-digit numbers greater than 34 and divisible by 10:
C = {40, 50, 60, 70, 80, 90}
8 0
3 years ago
What dose 5280 round to
Minchanka [31]
5280 rounds up to 6000 because the number 8 is after 5, so your round up which makes 5280, 6000. 
5 0
3 years ago
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