What trig function and angle is equivalent to sin(270°)?

Sagot :

Answer:

θradians sin(θ)

3π/2 -1

Step-by-step explanation:

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

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.

Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,

sin(270°) = sin(3π/2)  = -1

Also, if the trigonometric function is needed to be changed then we can write,

sin(3π/2) = cos(π) = cos(180°) = -1

Hence, the trigonometric function and angle are equivalent to sin(270°).

Learn more about Trigonometric functions:

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