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blondinia [14]
3 years ago
12

Find an angle where sine and cosine are equal. find the tangent of that angle

Mathematics
1 answer:
algol133 years ago
6 0

Answer: The angle is 45\° and the tangent is 1

Step-by-step explanation:

The angle \theta at wich the functions sine and cosine are equal is 45\°. Let's prove it:

sin (45\°)=0.7071

cos (45\°)=0.7071

Hence:

sin (45\°)=cos (45\°)

On the other hand, the tangent function is defined as:

tan \theta=\frac{sin \theta}{cos \theta}

Then:

tan (45\°)=\frac{sin (45\°)}{cos (45\°)}

tan (45\°)=\frac{0.7071}{0.7071}

tan (45\°)=1

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2 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
During a sale at the electronics store, movies sold for $3 and CDs sold for $2.50. Isla spent $19 and bought a total of 7 movies
Vinvika [58]
She bought 4 Movies and 3 CDs so she spend $19.50 bc 3+3+3+3=12 so 2.50+2.50+2.50=7.50 so 7.50+12=19.50
3 0
3 years ago
Eighty-eight percent of all people who try to do this ratio and proportion
Inessa [10]

Answer: 61 people have worked on this worksheet so far.

Step-by-step explanation:

Given: 80% people try to do this ratio and proportion  worksheet find they need some help with the problems.

Let x be the total number of people worked on this worksheet so far.

People need some help with the problems. =80% of x = 0.80x

As per given,

0.80x=49

\Rightarrow x=61.25\approx61

Hence, 61 people have worked on this worksheet so far.

8 0
2 years ago
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