Answer both for brainlyest

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

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7 0

2 years ago

1. (10 pts) Mark is considering getting cable TV for his apartment. (a) Cable provider A charges a $300 installation fee and the

Goryan [66]

A) A = 40m + 300

b) 820 = x12 + 100
x = 60
B = 60m + 109

8 0

3 years ago

If s = -5 and t = 3, find the value of s 2 t. 225 75 30 -75

Reika [66]

Just answered this one a few minutes ago.

(-5)(-5)(3)= 75

7 0

4 years ago

Read 2 more answers

What the length of a rectangle's side (height) that is 10 cm wide and It's diagonal is 18.03 cm long?

yawa3891 [41]

Answer:

The height of a rectangle's side is 15 cm tall.

Step-by-step explanation:

You can use the pythagorean theorem to solve this.

The pythagorean theorem is:

${a}^{2} + {b}^{2} = {c}^{2}$

The hypotenuse represents the c. One the diagram, the hypotenuse represents the diagonal. The letters a and b represents the sides (just not the diagonals).

Let's plug in.

${a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {10}^{2} = {18.03}^{2} \\ {a}^{2} + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^{2} = \sqrt{225.0809} } \\ a = 15.00$

Therefore, its 15 cm.

6 0

3 years ago

Who’ll have fewer points?

Semmy [17]

Answer:

i think it 17

Step-by-step explanation:

i might be wrong sorry if i am

4 0

3 years ago