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lora16 [44]
3 years ago
8

Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

ould be typed as sin^2x. Be sure to show all your work.2sin2x - cos2x - 2 = 0
Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).

By using the trigonometric identities below :

sin2x=2sinxcosx

cos2x=cos^2x-sin^2x

We substitute the trigonometric identities into (1).

2sin^2x+2sinxcosx+cos^2x-sin^2x=0

By combining like terms .

sin^2x+2sinxcosx+cos^2x=0.....(2)

The equation (2) is equivalent to the following expression (3).

(sinx+cosx)(sinx+cosx)=0 .....(3).

sinx+cosx=0

cosx=-sinx

divide both sides by cosx

1=-sinx/cosx

-1=sinx/cosx

sinx/cosx=tanx

substitute

-1=tanx

tanx=-1

tangent is negative in 2nd and 4th quadrants

tan135º=-1 (one answer)

tan315º=-1 (second answer)

Step-by-step explanation:

Please refer to the trigonometric identities used and explained above .

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lisov135 [29]
39 + 68 + x = 180
107 + x = 180
x = 73

your answer is actually C. 73
7 0
3 years ago
A researcher reports a 98% confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be [0.34,
Fantom [35]

Answer:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

3 0
4 years ago
You just got a free ticket for a boat ride, and you can bring along 4 friends! Unfortunately, you have 6 friends who want to com
Sliva [168]

Answer:

Step-by-step explanation:you can take 5

5 0
3 years ago
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Simplify 4/6+x/3+3/2
Ronch [10]
4/6=2/3
2/3+x/3+3/2
apply rule a/c+-b/c=(a+-b)/c
(2+x)/3+3/2 is your final answer
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4 0
3 years ago
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Answer:

117 pages

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