L(sin?t +cos?t) is:

Q: Answer the following True or False: If a is measured in degrees and f(x) sin x, then f(x) = cos . dr

A:

Q: (P3(sin u))² cos u du

A: Given integral is I=∫-π2-π2P9sinu2cosudu Let sinu=x⇒cosudu=dx So limit of integration will be -1 to…

Q: Which of the following is not true? a) cos?t+ sin?t = 1 b) csc?t – cot?t = 1 c) cos?t– sin²t = 1 Qd)…

A:

Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

Q: The value of sin nx dx is - 2 a) c) 0 b) 1 d) None of these

A: Find explanation below

Q: Find the exact value. cos 285° Vo - V2 A) B) 4 4 V6 + V. D) 4 | C) 4

A: Proceed as shown below...

Q: Use the given conditions. sin(u) <u<x 2

A: Given data is : sinu=513 Find the value of u in the interval π2&lt;u&lt;π

Q: If y = cos?(3x), then : dr %3D II

A: Given, y = cos23x  We have to find the value of dydx

Q: sin a = cos (a + 40) %3D а. 25° b. 40° с. 140° d. 50°

A: Given : sinα = cosα + 40

Q: If sin z cos? z and if y = 0 when x = pi/2, what is y(0)? Express your answer as a fraction. %3D

A: Given: dydx=sinxcos2x,   yπ2=0

Q: What must be the value of A so that cos(r + y)- cos(r-y) = A sin a sin y? %3D O 2 no correct answer…

A: In trigonometry, cos(x+y)=cos x·cos y-sin x·siny and cos(x-y)=cos x·cos y+sin x·siny

Q: Show that Sinc fo) = Salo) = \ %3D

A:

Q: sin x xp = + cos x 1+c

A: ∫0π2sin x1+cos xdx Formula ∫xndx=xn+1n+1+C

Q: ubrey tried to prove that sin(0) = cos(180° – 0) using the following diagram. Her proof is not…

A: Given that Aubrey tried to prove sinθ=cos180-θby using the given diagramAnd her proof is not correct…

Q: sin n z cos z dr

A:

Q: cos ve S: V@ sin? ve de

A: We can use method of substitution in order to solve the given problem.

Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: sin' x dx

A:

Q: 2) t? t et sin 4

A:

Q: 3- + y cot x = 2 cos x %3D dx

A: The details calculation is given below

Q: csc? a + sec? æ 1 cos x sin z

A:

Q: How would you evaluate f cos?x sin x dx?

A: We need to evaluate, ∫cos2xsin3xdx

Q: 14 to the nearest degree what 29 Consider AEFG where m/F 90°, If sin E = is m/G?

A: Given,          Consider the ∆EFG where ∠F=90° and  sinE=1429

Q: For y = sin? x +cosx, y' =

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Q: 3. t cos t dt

A:

Q: Determine whether the statement is true or false -2t+3 L{e=#+3(sin(t) + cos(t))} = e*L{e=# sin(t)} +…

A:

Q: 2- Sm ()+i sin ).리 is .

A: Modulus of a complex number

Q: Find y" given that sin(y) + cos(r) =I %3D

A: We have to find the second derivative

Q: Obtain the general solution to the equation. 2. (sin? y + x cot y)y' = 4

A: solve the above differential equation.

Q: Can They Both Be Right? Hannah uses the substitution u = tan x and Akiva uses u = sec x to evaluate…

A: Given:∫tanx sec2x dxTwo way of substitution:Hannah uses  u=tanxAkiva uses    u=secx

Q: Find the exact value of sin () given csc(x) = 8, %3D for 90° < x< 180°. 3/7 А. С. 16 317 317 В. D.…

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

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

A:

Q: xp- 2-x (Put x = 2 sin? ) %3D

A:

Q: For Exercise solve for the angle u, where 0 &lt; u &lt; 2pie.

A: To solve the equation over the interval 0,2π, sin2θ-cosθ=0

Q: What is the exact value of the cos ZXYZ? 7 6. Y Z. 8. 11 514

A:

Q: Find the exact value of sin ) given csc(x) = 8, %3D for 90° < x< 180°. 317 А. 2. С. 2 16 + 12 D. 317…

A: Given that csc(x)=8 for 90°&lt;x&lt;180° ⇒sin(x)=1csc(x)⇒sin(x)=18 Since…

Q: the following equations? e. sec?x – tan?x = 1 %3D d. V3| cot x| = 1 f. sin x + cos x = 0 %3D

A:

Q: Which of the following is not true? a) cos?t = 1+ sin²t b) sin?t = 1- cos²t c) csc?t = 1 + cot?t d)…

A: From the trigonometric relation: sin2t+cos2t=1 So, sin2t=1-cos2t Therefore, Option (b) is true and…

Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: Q3 Find the value of the angle of cos(sin (x)) ?

A: The given trigonometric function is Here, the angle of the function is sin-1 (x).

Q: п п sin?ydx + cos?xdy = 0; y 4 ||

A: topic - differential equations

Q: .2 c) y==(1+ cos?(7t))³

A:

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: Simplify cos? I sin? t 8 8. V2 2 1 - V2 2 O 1 1/2

A:

Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

A:

Q: To approximate the value of sin44° , we will use y=sinx What must be the value of dy ? OA. | 180 O…

A: Given:- To approximate the value of sin44°, we will use y=sinx. To find:- What must be the value of…

Q: x sin? x dx

A: To find:∫0πxsin2xdx

Q: |x sin(4x) dx + C

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: (e) sin? x dx

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.