Answers
Answer:
45, 135, 195 and 345degrees
Step-by-step explanation:
Solve the following trigonometric equation:
2sin^22x + sin2x - 1 = 0
Let P = sin2x
Substitute
2P^2 - P - 1 = 0
Factorize;
2P^2 - 2P+P - 1 = 0
2P(P-1)+1(P-1) = 0
(2P+1)(P-1) == 0
2P+1 = 0 and P -1 = 0
P = -1/2 and 1
Since P = sin2x
sin2x = 1
2x = arcsin1
2x = 90
x = 90/2
x = 45degrees
Since sin is positive in the second quadrant
x = 180 - 45
x = 135 degrees
sin2x = -1/2
2x = arcsin(-0.5)
2x = -30
x = -15
Since sin is negative in the third and 4th quadrant
x = 180 + 15 = 195
x = 360 - 15 = 345
Hence the value of x are 45, 135, 195 and 345degrees
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Answer: conjugate
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The other root of that same function is the radical conjugate.
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Answers
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Answers
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Step-by-step explanation:
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Answers
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Christine's family went to the beach. They got to the beach at 11:20 A.M. and swam in the ocean for 1 hour and 10 minutes. Then they built sand castles for 45 minutes and played volleyball for 50 minutes before heading home. What time was it when Christine's family left the beach?
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Step 1
Find the Length and Width of the backyard
The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.
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Step-by-step explanation:
Answer:
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Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer: 5%
Step-by-step explanation:
First and foremost, we need to know that 60 minutes = 1 hour. Therefore,
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Answers
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Answers
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