Fliminate the parameter t =sect tant

Q: 1. cot t + cot t

A: Given:

Q: sin z- cos z # sin z cos z sin tanz SI EC

A: Here we have to prove, sinx·cosxtanx=cos2x

Q: If cost = - and t is in the 3rd quadrant, then sin t = V45 2 V53 V45 2 V45

A: Given: cost=-27 and t is in the 3rd quadrant. To find: sint Solution: We know that in the 3rd…

Q: 3. Trace the curve: r = 2+3 cos 0.

A: Given that we need to trace the curve  r = 2 + 3 cos theta  Now,

Q: 1) sin C

A:

Q: Sin(3E)coSE- SinB LOSE Los t t

A: Consider the given limit: Here the objective is to evaluate the given limit.

Q: cos z cot z = sin z

A: We have to prove cotz=coszsinz

Q: sin(z) = %3D e-e-z 2i eiz-e-iz et +e-iz 2i et-e-iz | 2i

A: According to Euler's relation eiz=cosz+i sinz and e-iz=cosz-i sinz. This relation is obtained by…

Q: If cost = - and t is in the 3rd quadrant, then sin t = Vī6 V34 O Vī6 Vī6 3 O Vī6

A: The given question has been solved in detail with the fact that t lies in the third quadrant and…

Q: A sine function of the form y = sin x + C touches the x-axis but does not cross it. Determine…

A:

Q: determine the speed ds/dt at time t (assume units of meters and seconds).  (sin -1 t, tan -1t), t =…

A: Given that (sin -1 t, tan -1t), t = 0 To determine the speed ds/dt at time t x(t) = sin-1tx'(t) =…

Q: /cot x Q: Evaluate dx Vcotx+tanx

A: Given that: ∫π/2cotxcotx+tanxdx

Q: (1– cos T) (1 + sec T) cot T = sin T

A: we have to establish the identity:

Q: The sine curve y=9

A:

Q: a:1 c R E4 t a(t) = (cos (), sin (), 2, at) %3D ↑

A: Given the curve  α:I⊂ℝ→ℝ4 given by t→αt=cost2, sint2, 2, αt

Q: tan K his It tan X

A:

Q: Verify the identity : (sin t - 1)/cos t = (cos t - cot t)/(cos t cot t)

A: To prove:sint -1cos t=cost-cot tcos t cot t

Q: sine cose tane= tane cos?e sin?e

A: Use tanθ=sinθcosθ

Q: Sin fG.4) = Cc.g)=D(0,0) is corfinuos af (0,0)

A:

Q: g(t) = t sin t

A:

Q: A particle in simple harmonic motion according to the equation, moves s = TA cos(wt)+TB sin (wt).…

A: ddt(sin(at))=acos(at) and ddt(cos(at))=-asin(at), where a is arbitrary constant.Therefore,…

Q: b.T t sin t + 21

A:

Q: Let r = 2sin(3*theta). a. Find the equations of the tangent and normal lines for the given value of…

A:

Q: Trace the curve: r = 1/2 sinꝋcos^3ꝋ.

A: The equation of the curve is r=12sin θcos3θ. First check the the symmetry of the curve. The curve is…

Q: Specify it if the differetial equation is exact or non-exact. FInd the general solution. 2ydy =…

A:

Q: csc(t) – sin(t) cot(t) Simplify

A: The formula for conversion of cot(x) is,   The formula for conversion of cosec(x) is,   The…

Q: (a) y = x° arctan(e")

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: tan x his I+ tan x

A: From the given problem:   limx→π2tanx1+tanx   So,   limx→π2tanx1+tanx=tanπ21+tanπ2=∞∞   It is an…

Q: Sse ( sect (sect + tan t)dt

A: Given,         ∫sectsect+tantdt

Q: Fliminate the following. the parameter ) from x(H=2Sint (+)=5 cosf

A: Given, x=2sint        .....(1)y=5cost       .....(2) From equation (1) and (2) sint=x2         ....…

Q: Eliminate the parameter t. x = 2 sin t, y = 4 cos t Show ALL work. BOX your final answer(s). Make…

A:

Q: ch trig function with its ratio. v sine adj a. v tangent ddo v cosine b. ddo hyp hyp C. opp adj d.…

A: We have to match of each  trigonometry function

Q: cot(t) = - V3 where – T < t < T.

A:

Q: cos a Jsin a

A: Given: ∫cos5αsinαdα =∫(1-sin2α)2cosαsinαdαApply u-substitution u=sinα…

Q: sece B a. tan B %3D 1+cot B

A: This question is taken from the trigonometry in which we have to prove the given trigonometry…

Q: Verify the identity: cot t + sin t/(1 + cos t) = csc t

A: Given: verify the identity cott+sint1+cost=cosect for verifying given identity, we solve left hand…

Q: Evaluate L{ sin(t – T) cos t dr - 7) castdr}|

A: Apply here  convolution Theorem

Q: C. Find the value of the indicated circular function for angle 0 whose terminal side passes through…

A:

Q: 6. y = sin x, y = x, x = TT/2, X = TT

A: Consider the curves

Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a…

A:

Q: Determine the coefficient of Cot(x) when we evaluate [[cot(x)- csc(x)]²dx_

A:

Q: sin B) S diverges A) S

A: sin(x) =x - x33! +x55! - ........................

Q: dx using gauss legendre 3 dots

A:

Q: 1. (csc t + cot t)(1 – cos t) = sin t %D

A:

Q: Verify the identity: (sin t + cos t)/(sec t + csc t) = sin t/sec t

A: The given identity is sint+costsect+csct=sintsect

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.