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RideAnS [48]
3 years ago
12

When solving the equation x/5 - 12 = 10, what is your last step?

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0

Answer:

A multiply by 5

Step-by-step explanation:

x/5-12=10

x/5=10+12

x/5=22

multiple each side by 5

x=22*5

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A point P(x,y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t
Ivan

Answer:

sin t = \frac{3}{5}

cos t = -\frac{4}{5}

tan t = -\frac{3}{4}

csc t = \frac{5}{3}  

sec t = -\frac{5}{4}  

cot t = -\frac{4}{3}  

Step-by-step explanation:

In the unit circle:

  • x-coordinate of a point on the circle represents cosine the angle between the + ve part of x-axis and the terminal side which joins the center of the circle and this point
  • y-coordinate of a point on the circle represents sine the angle between + ve part of x-axis and the terminal side which joins the center of the circle and this point

In the attached figure

∵ t represents the angle between + ve part of x-axis

    and the terminal side drawn from the center of the circle to

    point P

∴ The coordinates of point P are (cos t , sin t)

∵ The coordinates of P are ( -\frac{4}{5} , \frac{3}{5} )

∴ sin t = \frac{3}{5}

∴ cos t = -\frac{4}{5}

∵ tan t = \frac{sin(t)}{cos(t)}

- Substitute the values of sin t and cos t

∴ tan t = \frac{\frac{3}{5}}{-\frac{4}{5}}

- Multiply up and down by 5 to simplify the fraction

∴ tan t = -\frac{3}{4}

∵ csc t = \frac{1}{sin(t)}

- Reciprocal the value of sin t

∴ csc t = \frac{5}{3}  

∵ sec t = \frac{1}{cos(t)}

- Reciprocal the value of cos t

∴ sec t = -\frac{5}{4}  

∵ cot t = \frac{1}{tan(t)}

- Reciprocal the value of tan t

∴ cot t = -\frac{4}{3}  

3 0
3 years ago
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