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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

A: Take different values of t from the given interval and then plot the corresponding points and…

Q: Give a cartesian equation for the curve given by the parametric equations: 4t² - 4t, y = 14t².…

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Q: Find parametric equations for the trajectory of a particle that moves along the circumference:

A: Given the trajectory of a particle that moves along the circumference

Q: 3. Find a rectangular equation to represent the plane curve. x = 3 tant, y = 2 sect for tin (-7-7)

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Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

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Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

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Q: I. II. III. IV. y² = t² - 2t and x = t + 2 is Ellipse Circle Parabola Hyperbola

A: Topic = Coordinate geometry Correct Option = IV

Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: For each Plane cure,find.a rectangular eaayaton State the appfopriate Atervat for xory. X=34, 4=46°…

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Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.