(b) Find a trig. identity that will help you eliminate t.This will be one-half of a familiar conic, but you don't have to sketch it.Just give the equation of the conic.r (t) = (sec (t), tan (t)), –~/2

Answered: ) Find a trig. identity that will help…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(b) Find a trig. identity that will help you eliminate t.
This will be one-half of a familiar conic, but you don't have to sketch it.
Just give the equation of the conic.
r (t) = (sec (t), tan (t)), –~/2 <t<a/2.

Expert Solution

Step 1

In the given equation, the concept of a trigonometric function is applied.

Trigonometric Functions

The fundamental six trigonometric functions have a site input value that's an angle of a trigon and a numeric answer that's the range. In trigonometry, there are six basic trigonometric functions. Trigonometric ratios are the functions in question. Sine, cosine, secant, co-secant, tangent, and co-tangent are the six basic trigonometric functions. The ratio of sides of a triangle is the basis for trigonometric functions and identities. The perpendicular side, hypotenuse, and base of a trilateral are employed in trigonometric formulas to work out the sine, cosine, tangent, secant, cosecant, and cotangent values.