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Levart [38]
2 years ago
15

If tan a = 9/40use trigonometric identities to find the values of sin a and cos a.​

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given

tan a = \frac{9}{40} = \frac{opposite}{adjacent}

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = \sqrt{1681} = 41 , thus

sin a = \frac{opposite}{hypotenuse} = \frac{9}{41}

cos a = \frac{adjacent}{hypotenuse} = \frac{40}{41}

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faust18 [17]

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6 0
3 years ago
How to do question 5 and 6. Can you explain the first one which is A for 5 and 6?<br><br>Thank you​
Illusion [34]

for 6

in a

given

slope(m)=1

point=(2,-4)=(x1,y1)

we know

equation of straight line

y-y1=m(x-x1)

y+4=1(x-2)

y+4=x-2

therefore x-y-6=0 is the required equation

substituting with ax+by+c=0 we get

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4 0
3 years ago
2(x-3) = (x-1) + 7<br><br> Please show your steps!!
andre [41]
Simplify the equation.

First, distribute the 2 in the left side of the equation.
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Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
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Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
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6 0
3 years ago
Read 2 more answers
Two radar stations 5.5 miles apart are tracking an airplane. The straight line distance
Vesnalui [34]

Answer:

19°

Step-by-step explanation:

I have attached an image showing this elevation.

From the image, let's first find the angle A by using cosine rule.

Thus;

8.1² = 5.5² + 13.1² - 2(5.5 × 13.1)cos A

65.61 = 30.25 + 171.61 - 144.1cos A

144.1cos A = 171.61 + 30.25 - 65.61

144.1cosA = 136.25

cosA = 136.25/144.1

cosA = 0.9455

A = cos^(-1) 0.9455

A = 19°

5 0
2 years ago
How to answer because I struggle to answer
SpyIntel [72]

5: AA  47=47    36=36  similar

6: SSS   32/16 =2,  24/12 =2,  9/4.5 = 2  similar    

7: SAS  72/53= 1.3,  55=55, 48/12 = 4  not similar

8: SAS  45/15= 3,  54=54,  9/3=3  Similar

9.SAS  20/10 =2,  10/8 = 1.25  not similar

10.SAS  32/14= 2.29, 46=46,  12/7= 1.79  not similar


5 0
3 years ago
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