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Talja [164]
3 years ago
5

How do i do this? please help

Mathematics
1 answer:
uranmaximum [27]3 years ago
3 0
How do you do what ?
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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

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

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
To gain access to his account, a customer using an automatic teller machine (ATM) must enter a four-digit code. If repetition of
VMariaS [17]
I’m not really much sure, I tried.
8 0
3 years ago
−2x+7y=10 minus 3x+7y=2
viva [34]

Answer:

I would multiply the first equation by −4 and the second by 3 and add together the two equatins (in columns): ... Step 2. Prepare the equations. Multiply every term in each equation by a ... Subtract Equation (4) from Equation (3). ... How do you solve the system 5x−10y=15 and 3x−2y=3 by multiplication?

3 0
3 years ago
Please help me!! How do you solve 4x+8=2x+7+2x-20. Thank you
leonid [27]
4x + 8 = 2x + 7 + 2x - 20

4x + 8 = 4x - 13

8 = -13

no solution. 

hope that helps, God bless!
8 0
3 years ago
Simplify each expression t+8t
FromTheMoon [43]
Think of it this way. Let's say t= one. 1+8 is 9. Your answer is 9t. Think of a variable without a number as one. 
5 0
3 years ago
Read 2 more answers
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