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3 years ago

I need to know the answer to question 10

Mathematics

1 answer:

motikmotik3 years ago

6 0

The answer is actually e although it would have been a

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1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β

slava [35]

Step-by-step explanation:

$\tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20}$

$\csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta$

Therefore,

$\sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20}$

$\csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2}$

$= > \sin y = - \frac{ \sqrt{6} }{3}$

Use the identity

$\cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3}$

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

$\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2}$

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

$\sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} }$

Solving for tan x:

$\tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5}$

5 0

3 years ago

An airplane makes a 15° angle of elevation from the runway

Jet001 [13]

Answer: 536 feet tall

Step-by-step explanation:

2000 ( tan 15 ) = 536

6 0

3 years ago

Order these numbers from least to greatest.<br> 4.725, 4.87, 19/4, 3 18/25

tigry1 [53]

Answer:

3 18/25, 4.725, 19/4, 4.87

Step-by-step explanation:

3 0

3 years ago

Y-4=-3(x+5)<br> Which graph represents this solution

Studentka2010 [4]

Hope this will help

4 0

3 years ago

Find the value of Z^ when z =0.5

LiRa [457]

Step-by-step explanation:

may be this is a answer......

3 0

3 years ago