The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
Learn more about Trigonometric functions:
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Answer:
8
Step-by-step explanation:
The answer is A because 3 divided by 3 is one, and 51 divided by three is 17.
Answer:
4√3
Step-by-step explanation:
Use the acronym SOH CAH TOA and pick your angle. Im gonna pick the 30 degree angle. From the 30 degree angle, the x side is the hypotenuse, and the 2√3 is the opposite. I need to find H and O, which is the SOH part of my acronym.
Therefore Sin 30 = O/H. Then SIN 30 = 2√3/x.
We multiply both sides by x ⇒ x × sin 30 =2√3
Lastly we divide by sin 30. x = 2√3/ sin 30
We know that sin 30 is 1/2.
2√3 ÷ 1/2 (keep change flip) ⇒2√3 ×2 ⇒4√3
Sin 30 is equal to
Phytagoras Theorem :
c² = a² + b²
c² = 9² + 2²
c² = 81 + 4
c² = 85
c = √85
So, the distance between the following points is √85
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