dz dz Find Ju when u = In 2, v=5. if z = 20 cot 'x, and x= e" + sin v. and dz (Simplify your answer.) du lu = In 2, v = 7

Q: 12. Verify the identity by transforming the left side of the equation into the right side. csc 0-sin…

A: 12. We need to verify the following identity cscθ-sinθ = cotθcosθ

Q: COS arctan

A: tan(x) = p /b cos(x) = b/h

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: If sinα = −4/5, where α ∈ QIV, and tanβ = 3/2, where β ∈ QIII. Determine the exact value of…

A:

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

A:

Q: In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? 1. sin(A) = sin(C)…

A: topic- trigonometric identities

Q: 5. IF sin@=5 =E and@inthe first quadrant, find cos

A: We have to find the cos angle

Q: If cos α=0.755 and sin β=0.051 with both angles' terminal rays in Quadrant-I, find the following:…

A: We have to find the value of cos(α+β), sin(β−α).

Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: Let cos A = with A in QII and find V13 sin(2A) = Preview TI Enter your answer as a number (like…

A:

Q: Assume that a particle’s position on the x-axis is given byx = 3 cos t + 4 sin t,where x is measured…

A:

Q: tan (x) = -8.6. If x and y are complementary, what is cot (y)? %3D Submit

A:

Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: theerem 3 2tt sine = S. I = do; a>l. anse 2T (a- Ja?) %3D a+ CEsO

A:

Q: 2. If P(x, y) is on the unit circle, then x? + y? = So for all i we have sin't + cost =

A: We Know that, In case of the unit circle: Radius r = 1 and  Standard form of circle passes through…

Q: 8. dr+ (2r cot 0 + sin 20) d0 = 0.

A: This will be a linear differential equation of r. We will write this in standard form and then solve…

Q: 7 If cos x s and sin y = -0 < x <,n < y < *, evaluate sin(x – y) using compound angle formula. %3D…

A:

Q: 1) Evaluate. x cosh ax dx

A: As per guideline we have to solve one question

Q: if z = cos20, and 0 = [cot(w) + 1] - %3D rcotx sint Find if cot?y = x² + Sy2sinx dx

A:

Q: 3. sin* ydy 4. J7 sin? ycosºydy

A: Explanation of the answer is as follows

Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: 5 In right triangle DEF, if mLF = 90 and cos E = sin D is equal to

A:

Q: the squ tS ol mplex 5л 5л 9 (cos () + i sin()). Select all correct Z = 9 9. answers.

A:

Q: The magnitude of A = p cos 0 a, + pz2 sin Ø a, at point (3, -4, 0) is: %3D

A: To find magnitude of A⇀=ρcosθaρ⇀+ρz2sinφaz⇀   at point (3,-4,0)

Q: 7 T sin 8 What is the exact value of Show your work

A:

Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

A:

Q: f cos 0 and tan 0 <0, then 8 sin(8) tan(0) cot(0) %3D sec(e)

A: if cosθ=-28 and tanθ&lt;0 we have to find ,  sinθ=tanθ=cotθ=secθ=cscθ=

Q: If cosA = −4/5 with A in QII, find sin A/2 .

A:

Q: If e = then %3D 4. sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

A: Follow the procedure given below.

Q: If y = cose z then value of y' will be Select one: Az sine A O e-z, sine-Az O d.e dz¸ sine d O -A. e…

A:

Q: 2. sin? – cos' –dx

A: Let's find.

Q: Find all angles v between −π and π for which 2 √3 *sin(v)+2 cos(v)=2

A:

Q: If sin t = and t is in the 2nd quadrant, then i) tant = II sec t

A:

Q: Find zw and Leave your ans z=3(cos 140° + i sin 140°) w=5(cos 280° + i sin 280°)

A: Given that,

Q: help

A: see 2nd step.

Q: If Cost S+SI find the value of sin 2t with the help of 2. the double angle identity sin 2x = 2 sin x…

A:

Q: 3 If tant: π = and 0 < t < , find sint, cost, sect, csct, cott. 4 2 Enter the exact answers. 4 sint=…

A: Find out the trigonometric ratios.

Q: If Sin A=5/13 with A in QII, then find sec A/2

A:

Q: (b) Show that sin50=(Q sine-R sin 30+S sin 50 ) by using De Moivre's Theorem. Hence, state the…

A: We have to express sin5θ   in the form   sin5θ = 1PQsinθ-Rsin3θ+Ssin5θ using De Moivre's Theorem. At…

Q: T. If 0 = then sin(8) = %3D cos (0) = COS Give exact values. No decimals allowed!

A: Givenθ=π6

Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

A:

Q: ди du and ar if u = e" cos 0 . cos(r sin 0) (1) Find

A: It is partial derivative

Q: 0. sin*(x) dx = R, 3 -Tt, what is 8. Given that sin (0) de?

A:

Q: (1+cot 0) de 5. sin e4 - cote

A:

Q: 15 Find the exact value of the trigonometric expression given that sin(u) = - - where 37T/2 <u< 27t,…

A: The expression for csc θ can be written in terms of sin θ as csc θ=1sin θ. We use the trigonometric…

Q: 7 - If æy + sin(e") + arcsin a = sin 1+ then what is the value of at (4, 0)? b) а) b) b. c) C d) d.…

A: Given: xy+siney2+sin-1x=sin1+π6

Q: Can you help me step by step?

A: On simplification, we get

Q: 3 If sin t and t is in the 2mnd quadrant, then 8 i) tant = ii) sec t = %3D

A: Given:         sin t=38   t is in 2nd quadrant.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.