Answer:
Step-by-step explanation:
(3x + 2) + (x - 4) = 90
4x - 2 = 90
4x = 92
x = 23
m∠A = (3(23) + 2) = 71°
Triangle is the measure of
Answer:
47.25 + 23.75 = 71
Step-by-step explanation:
By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is
.
<h3>How to find the exact value of a trigonometric expression</h3>
<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:
![\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%20-%20%5Ccos%20%5Cfrac%7B5%5Cpi%7D%7B6%7D%20%7D%7B2%7D%20%7D)
![\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%20%2B%20%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20%7D%7B2%7D%20%7D)
![\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%20%2B%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%7D%7B2%7D%20%7D)
![\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%20%5Csqrt%7B%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B4%7D%20%7D)
![\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}](https://tex.z-dn.net/?f=%5Csin%20%5Cfrac%7B5%5Cpi%7D%7B12%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%7D%7D%7B2%7D)
By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is
.
To learn more on trigonometric functions: brainly.com/question/15706158
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Someone else asked the same question and got something written out for them. on another site, I found out that the first one was <span>: 8(14.13)=113.04</span>