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zhannawk [14.2K]
3 years ago
9

How do I solve these trigonometric equations!!?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0
<span>1) (sin x)(cos x) = 0 This means that either sin x = 0, or cos x = 0. Sin x = 0 when x = 0 or pi. cos x = 0 when x = pi/2 or 3pi/2. 2) cos2x + 2cosx + 1 = 0 First, expand cos2x. Simple trigonometric identity states that cos2x = (cos x)^2 - (sin x)^2.Now, substituting this equation, we get cos2x + 2cosx + 1 = (cos x)^2 - (sin x)^2 + 2cosx + 1. Note that we can now utilize the identity (cos x)^2 = 1 - (sin x)^2 to obtain (cos x)^2 + 2cosx + 1 - (sin x)^2 = 2(cos x)^2 + 2(cos x) = 0. Now, we can see that 2(cos x)^2 + 2(cos x) = 2(cos x)(cos x + 1) = 0. This is true when cos x = 0 or cos x + 1 = 0. Cos x = 0 when x = pi/2 or 3pi/2. cos x = -1 when x = pi. Therefore, x = pi/2, pi or 3pi/2.</span>
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What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81 times 10 to the power of negative 11 4.81×10−13 4.81 ti
Anettt [7]

The scientific notation of 48,100,000,000,000 is 4.81 ×  10^13.

Acccoring to the given question.

We have a number 48,100,000,000,000.

As we know that, scientific notaion is a way of expressing numbers that are too large or too small to be conveniently written in a decimal form.

Therefore,

The scientific notaion of 48,100,000,000,000 is given by

48,100,000,000,000 = 4.81 ×  10^13

Hence, the scientific notation of 48,100,000,000,000 is 4.81 ×  10^13.

Find out more information about scientific notaion here:

brainly.com/question/18073768

#SPJ4

4 0
1 year ago
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
How does estimating an addition or subtraction problem help you know if an answer is reasonable?
kiruha [24]

Answer:

It helps you know if the answer is reasonable because when you do the work and get your answer, you can check if it is close to your estimate, and if it is, it is most likely correct. On the other hand if it is not close to the estimate it is most likely wrong, unless you estimated incorrectly.

Step-by-step explanation:

7 0
2 years ago
The perimeter of a stop sign is 96
Fittoniya [83]

Answer:

x = 44

Step-by-step explanation:

4+4+2x+2x= 96

-(add like terms)

8+4x=96

-(subtract 8 from both sides)

4x=88

-(divide by 4 on both sides to get you x alone)

x=44

4 0
3 years ago
Read 2 more answers
What is y=1/2x+4 in standard form?
zhuklara [117]
<h3>Answer:  x-2y = -8</h3>

===========================================

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

8 0
3 years ago
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