By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.
How to apply trigonometric expressions
Trigonometric expressions are trascendent expressions derived from relationships between sides of the triangle contained in a goniometrical diagram.
There are at least six trigonometric expressions: sine, cosine, tangent, cotangent, secant, cosecant. The first two expressions are fundamental, whereas the rest are derived from them.
We can derive an expression for the secant of the angle by applying trigonometric expressions:
[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (1)
If we know that x = 3 and y = - 2, then the secant of the angle is:
[tex]\sec \theta = \frac{\sqrt{3^{2}+(-2)^{2}}}{3}[/tex]
sec θ ≈ 1.202
By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.
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