Respuesta :
The length of leg is 22 uints
What is Trigonometry?
Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles. The ratios used to study this relationship are called trigonometric ratios, namely, sine, cosine, tangent, cotangent, secant, cosecant.
Given:
angle= 45 and, H= 22√2
Using Trigonometry,
sin 45 = P/H
1/√2= P/ 22√2
P= 22 units
Trigonometric Ratios
There are basic six ratios in trigonometry that help in establishing a relationship between the ratio of sides of a right triangle with the angle. If θ is the angle in a right-angled triangle, formed between the base and hypotenuse, then
- sin θ = Perpendicular/Hypotenuse
- cos θ = Base/Hypotenuse
- tan θ = Perpendicular/Base
The value of the other three functions: cot, sec, and cosec depend on tan, cos, and sin respectively as given below.
- cot θ = 1/tan θ = Base/Perpendicualr
- sec θ = 1/cos θ = Hypotenuse/Base
- cosec θ = 1/sin θ = Hypotenuse/Perpendicular
Learn more about Trigonometry here:
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