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CrossFit415
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Homework Statement
Sin[tex]^{2}[/tex] 20[tex]\circ[/tex] + 1/sec[tex]^{2}[/tex] 20[tex]\circ[/tex] = 1 ?
Because isn't 1/sec the same as cosin?
Yes. The above identity is true not only for 20 deg., but also for any angle x for which sec(x) is defined.CrossFit415 said:Homework Statement
Sin[tex]^{2}[/tex] 20[tex]\circ[/tex] + 1/sec[tex]^{2}[/tex] 20[tex]\circ[/tex] = 1 ?
Because isn't 1/sec the same as cosin?
The term "sec" represents the secant function in trigonometry, which is the reciprocal of the cosine function.
Yes, 1/sec is equal to cosine. This is because the secant function is defined as the reciprocal of the cosine function, meaning they are inverse functions of each other.
The unit circle is a common tool used to visualize trigonometric functions. In the unit circle, the secant function is represented by the distance from the origin to a point on the circle, while the cosine function is represented by the x-coordinate of that same point. This illustrates the inverse relationship between the two functions.
Yes, 1/sec can be undefined in certain cases. This occurs when the cosine function is equal to 0, which would make the secant function undefined since it would be dividing by 0.
The secant function is commonly used in engineering and physics to calculate the forces acting on an object at different angles. It is also used in navigation and surveying to determine distances and angles between points.