The inverse trigonometric function arcsecθ has the largest maximum, and it's value is arcsec(-1)=π.
What are trigonometric inverse functions?
The inverse functions of the fundamental trigonometric functions are known as inverse trigonometric functions. sin⁻¹ x = θ is a possible conversion for the fundamental trigonometric function sinθ = x.
Inverse trigonometric function formulae can be created from any trigonometric formula.
The anti-trigonometric functions, arcus functions, and cyclometric functions are other names for inverse trigonometric functions. The sine, cosine, tangent, cotangent, secant, and cosecant functions are the fundamental trigonometric functions. Inverse trigonometric functions are the inverse functions of these functions. Inverse trigonometric functions such as arcsin(x), arccos(x), arctan(x), arccsc(x), arcsec(x), and arccot(x) are written with the arc-prefix (x). To get the angle of a triangle from any trigonometric function, utilize the inverse trigonometric functions. It is employed in many different disciplines, including physics, engineering, and geometry.
How to solve?
Observe the graph of each arccscθ, arcsecθ, arccotθ in the below given picture. We observe that the largest maximum if of arcsecθ.
Hence, arcsecθ has the largest maximum.
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