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Solve the equation sin^2 x=3 cos ^2 x

larisa86 [58]

Answer:

Step-by-step explanation:

Answer:

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

Explanation:

(

sin

x

)

2

=

3

(

cos

x

)

2

(

sin

x

)

2

=

3

(

1

−

(

sin

x

)

2

)

(

sin

x

)

2

=

3

−

3

(

sin

x

)

2

4

(

sin

x

)

2

=

3

(

sin

x

)

2

=

3

4

sin

x

=

±

(

√

3

2

)

x

=

π

3

,

π

−

π

3

,

π

+

π

3

,

(

2

π

)

−

π

3

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

If this was in the region

0

≤

x

≤

2

π

6 0

3 years ago

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Annette [7]

Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°)

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A researcher is interested in estimating the difference in two population proportions. A sample of 400 from each population resu

sergey [27]

Answer: (-0.086, 0.026)

Step-by-step explanation:

The confidence interval for the difference of two population proportion is given by :-

$p_1-p_2\pm\ z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : Significance level : $\alpha: 1-0.90=0.10$

Critical value : $z_{\alpha/2}=1.645$

Sample size : $n_1=400,\ n_2=400$

$p_1=0.61,\ p_2=0.64$

The 90% confidence interval for the difference in the population proportions will be :-

$0.61-0.64\pm\ (1.645)\sqrt{\dfrac{0.61(1-0.61)}{400}+\dfrac{0.64(1-0.64)}{400}}\\\\\approx-0.03\pm0.056=(-0.03-0.056,-0.03+0.056)\\\\=(-0.086, 0.026)$

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The cylindrical jar above has a height of 12 centimeters and a radius of 4 centimeters. The jar contains 20 spherical marbles. E

Katen [24]

The answer is 57.72 cm.

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What is the distance between (-6, 8)and (-3, 9)?

zmey [24]

The distance between the points is. 3.16227766016838

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