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Verizon [17]
3 years ago
15

What is the exact value of sin(π/6) and tan(π/4)?

Mathematics
2 answers:
g100num [7]3 years ago
3 0
Sin (pi/6) = 1/2
Tan (pi/4) is 1.
If you need to know why, leave me a comment!
malfutka [58]3 years ago
3 0

Answer:

The exact value of Sin(\frac{\pi}{6} )=\frac{1}{2} and   tan(\frac{\pi}{4})=1

Step-by-step explanation:

Consider the Special right angle  30^{\circ} - 60^{\circ} -90^{\circ} triangle as shown in the attachment.

The ratio of its sides are 1:\sqrt{3}:2 as shown in figure. The smallest side, opposite the 30^{\circ} angle, is 1. The side opposite the angle  60^{\circ} is \sqrt{3}. The longest side, i.e the hypotenuse is  2.

Therefore, any triangle of 30^{\circ} - 60^{\circ} -90^{\circ} will have its side in their ratios.

To find the exact value of Sin(\frac{\pi}{6}).

By definition;

Sine=\frac{Perpendicular}{Hypotenuse}

From the figure and by definition of sine:

Sin(\frac{\pi}{6} )=\frac{1}{2}

Therefore, the exact value of Sin(\frac{\pi}{6} )=\frac{1}{2}.

Now, to find the exact value of tan(\frac{\pi}{4})

For this , we have special right angle 45^{\circ}-45^{\circ}-90^{\circ} triangle, as shown in the attachment.

The ratio of its sides are 1:1:\sqrt{2}.

By definition of tangent,

tan=\frac{Perpendicular}{Base}

From the figure, we have

tan(\frac{\pi}{4}) =\frac{1}{1} =1

Therefore, the exact value of tan(\frac{\pi}{4})=1

   


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Can someone help pls​
scZoUnD [109]

Answer:

8) 10 m 9) 26 in 10) 51 m 11) 50 ft 12) 19.4 cm 13) 177.9 m 14) 40 15) 12 16) 14.7 17) 12.1

Step-by-step explanation:

You may solve the problems by using the Pythagorean Theorem which states that c^2 = a^2 + b^2, or in other words, the hypotenuse squared is equal to the sum of the legs squared.

Hope this helps! :-)

3 0
2 years ago
Which ones are equivalent tell me all that apply:)
Snezhnost [94]

a) second and last one : 32x - 24 and 8*4x - 8*3

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3 0
3 years ago
Read 2 more answers
The beginning checkbook balance of Gregory Co. was $3,045.58. Their bank statement indicated a balance of $4,262.92. The bookkee
Alex_Xolod [135]

Answer:

$3,659.82

Step-by-step explanation:

Adding to the checkbook those debits and credits not already there brings its balance to ...

... $3045.58 +651.84 -37.60 = $3659.82

Adjusting the bank's balance by the deposits and checks not already there brings its balance to ...

... $4262.92 +220.05 -325.50 -497.65 = $3659.82

Thus, the reconciled accounts will agree on the balance $3659.82.

8 0
2 years ago
Y=2x-4 <br> What is the five ordered pairs and completing the input/output table
kati45 [8]

Answer:

{(0, -4), (1, -2), (2, 0), (3, 2), (4, 4)}

<u>Input values (x)</u> = {0, 1, 2, 3, 4}

<u>Output values (y)</u> = {-4, -2, 0, 2, 4}

Step-by-step explanation:

Given the linear equation, y = 2x - 4, you could practically choose any input value (for x), to have an output value (for y).

If x = 0:

y = 2(0) - 4

y = 0 - 4

y = -4

First ordered pair: y-intercept =  (0, -4)

If x = 1:

y = 2(1) - 4

y= 2 - 4

y = -2

Second ordered pair: (1, -2).

If x = 2:

y = 2(2) - 4

y= 4 - 4

y = 0

Third ordered pair: x-intercept =  (2, 0).

If x = 3:

y = 2(3) - 4

y = 6 - 4

y = 2

Fourth ordered pair: (3, 2).

If x = 4:

y = 2(4) - 4

y = 8 - 4

y = 4

Fifth ordered pair: (4, 4).

Your input values (x) = {0, 1, 2, 3, 4}

Your output values (y) = {-4, -2, 0, 2, 4}

6 0
2 years ago
Whats 4n = 880.4's solution??
vodka [1.7K]

Answer:

n = 220.1

Step-by-step explanation:

  • 4n = 880.4
  • n = 880.4 ÷ 4
  • n = 220.1

the value of n is 220.1

6 0
2 years ago
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