cos(30) = sqrt(3)/2 so cosine squared is 3/4.
.3 m^2
30 degrees
180 degrees in a triangle 180-70-30 = 80 The other angle is 80 degrees
First you square root everything on both sides to cancel the squares. 30+B=78 Then subtract 30 from both sides to get B=48. So the answer is B=48
Each side of the triangle is 45cm/3=15cm. The altitude divides the base into two equal segments of 7.5cm. This results in a right triangle with hypotenuse 15 cm and base 7.5cm. Pythagorus tells us a2+b2=c2 where a=altitude, b=base, c=hypotenuse. a2=c2-b2=152-7.52=225-56.25=168.75, a=12.99cm. Alternatively, the 3 angles of an equilateral triangle are all 60 degrees. The altitude divides one of these angles into two 30 degree angles. The cosine of 30 degrees is the opposite divided by the adjacent side. The adjacent side is the altitude. Thus a/c=cosine of 30 degrees, a=c X cos30 degrees = 15X0.866=12.99cm
Cos(30) = sqrt(3)/2 = 0.866025403.... ( Which is irrational).
0.866 ( or (sqrt 3)/2 )
Cosine(30) = sqrt(3)/2
To find the cosine of a specific angle, you can use a scientific calculator or refer to the unit circle. For example, the cosine of 0 degrees (or 0 radians) is 1, while the cosine of 90 degrees (or π/2 radians) is 0. Additionally, you can use trigonometric identities or tables for common angles such as 30 degrees (√3/2), 45 degrees (√2/2), and 60 degrees (1/2).
cos(30 deg) = sqrt(3)/2 = 0.8660 approx.
First make sure your calculator is in 'Degree Mode (D)'. Then using the 'Inverse' of 'Sin' , shown as 'ArcSin' or ' Sin^(-1)' . enter '0.5', followed by '=' . The answer should be '30' ( 30 degrees).
The value of cos 30 degrees is (\frac{\sqrt{3}}{2}). This is a commonly used value in trigonometry, derived from the properties of a 30-60-90 triangle. In this triangle, the ratio of the adjacent side to the hypotenuse corresponds to the cosine of 30 degrees.
An angle that measures 30 degrees is one-third of a right angle, which measures 90 degrees. It is often associated with the angles found in a 30-60-90 triangle, where the angle measuring 30 degrees is opposite the shortest side. This angle is commonly used in various fields, including trigonometry and geometry, and has specific sine, cosine, and tangent values.
If its a 300-600-right angle triangle then the third angle must be 90 degrees. Then its base squared plus its height squared equals its hypotenuse squared usually written in the form of: a2+b2 = c2
You would use trigonometry for that. If, for example, you have a force of magnitude 10 at an angle of 30 degrees: * The x-component is 10 times the cosine of 30 degrees * The y-component is 10 times the sine of 30 degrees Or better yet, learn to use the polar-->rectangular conversion on your scientific calculator.
mostly it comes from memorization. If sin 30 = 1/2, then arcsin (1/2) = 30
The length of the other two sides is 7 cosine (60) and 7 cosine (30)that is 3.5 and 6.062 cmthe perimeter = 7 + 3.5 + 6.062 = 16.562 cm