Consider the following. x tan2(e), y sec(0),-n/2 < < n/2 (a) Eliminate the parameter to find a Cartesian equation of the curve X (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases у у 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 х 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1,5 2,0 2.5 3.0 O у у 3.0 3,0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 X 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0

Q: arcsin(4x)/arctan(5x)...

A: Using L'Hospital's rule to evaluate this limit,we know that,if  is of the intermediate form or…

Q: how does dy/dx(tanx) become sec^2x

A: It is a standard derivative formula, whose derivation can be found mentioned below.

Q: I'm suppose to write an expression, and that x is positive. My question is tan(sin^-1(4/x).

A: The solution is shown in step-2

Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: that tan'x- fan 6 - tan Find So

A: We will find out the required value .

Q: Just to clarify the confusion, it helps me see that on the screenshot of the worked solution, of…

A:

Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

Q: 2nd eg- how to derive tan^2x

A:

Q: How did you get the rewrite from sin^2(x)/sqrt(1+cos(x))

A:

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: sec^2 x + tan x = 1

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: limx→0 (sin6x)/(tan6x)

A:

Q: which one of the following is the same as sin(tan^-12/x) a. x/sqrt x^2+4 b. 2/sqrtx^2+4 c. sqrt…

A:

Q: ● ftan(x) sec(x) dx

A: We will use substitute method to solve the integration

Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

A:

Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: cos^3(x) and cos^4(x) using power reducing formulas and don't know how. How do

A:

Q: How do I solve: tan^-1(tan 2pi/3)

A:

Q: Why sin^2 (x) + cos^2 (x) is cos2(x)

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.