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givi [52]
2 years ago
12

Use trigonometric identities to solve the trigonometric equation sin(2∅)-cos(∅)=0 for 0≤∅≤2π. You must show all of your work ana

lytically.
Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

2sin(x)cos(x) - cos(x) = 0

so one solution is cos(x) = 0.

=> x = pi/2 and 3pi/2 (90° and 270°)

for cos(x) <> 0 we have then

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

=> x = pi/6 and 5pi/6 (30° and 150°)

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Yakvenalex [24]

Answer:

(2, 7) is the correct ordered pair.

Step-by-step explanation:

5x + 3y = 31

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3x = 6

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x = 2.

Substitute x = 2 in the first equation:

5*2 + 3y = 31

3y = 31-10 = 21

y = 21/3

y = 7.

Check the result by substituting for x and y in the second equation:

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3 years ago
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Answer:

20°

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2 years ago
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