sin x sec x 13. cos x sec x 14. tan x cot x sin r + tan ! 15. 1+ cot A 16. tan ! ese A

Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: h(x) = tan x - tan-x h(x) = 3 sec-1x h(x) = 14 cot x + 12 cos-x h(x) = (3x? + x - 1) csc-x %3D

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. y = sin(x) tan(x) 2. y = cos (x) 3. y = cos(tan(x)) 4. y = tan(x) A. y' = -3 cos (x) tan(x) В. у…

A:

Q: 6(cos² x – 1) x – 1) sin x cos a – sin z O 6 tanx + 6 sec z O 6 cot x+ 6 sec x O 6 tanx + 6 csc z O…

A:

Q: Evaluate sin(x+y)-cos(x+y)=1

A: Given: sinx+y-cosx+y=1 Dividing both sides by 2, we get  12sinx+y-12cosx+y=12

Q: 1. y = 3 sin x – 4 cos x 2. y = x³ tan x 3. f(x) = cos x 1+sinx 4. y = csc x cot x f(x) cin?

A:

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: cos²x 6. 1+ sin x = 1- sinx tanx - сotx 7. sec'x - csc?x = sin xcosx 8.1 tin cos2x = cscx - secx…

A: We have to verify that the given trigonometric identity.

Q: sin(x)=−0.2cos(y)=0.4tan(z)=5.5 sin(−x)= 0.2cos(−y)= 0.4tan(−z)= -5.5 What does…

A:

Q: 11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x

A:

Q: 5 sin x If f(x) then 2 + cos x 5(1+2 cos (2)) f'(x) = (2+ cos( z))? (2+ cos( x) f'(5) = 0

A:

Q: (cos 0 -sin 0) d0 7. J sin 0 8. J (1 – tan 0)² de. 9. sec2 0 tan² 0 d0.

A: 7. Given integral, ∫cos θ-sin θsin θdθ

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1 2- Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: Evaluate the following 1-prove sin 2x+cos 2x+1/sin 2x-cos 2x+1=cot x 2-sinh(u-v) = sinh u.cosh v-…

Q: cos(x – y) Prove that tan y + cot x sin x cos y

A: We need to prove cosx-ysin x cos y=tan y+ cot x                  Now, we will use the formula…

Q: sin 2 x + sin x + cos 2 x - 1 = _______ tan x cot x sin x cos x

A: We can solve it as below.

Q: y = sin* 3x – cos* 3x y = csc* x – 21 cot?x y = cot sin

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: S(csc x cot x + 7x°)dx O sin x – x' + c O cos x + x7 +c .7 O cot x + x' + c tan x + x' +c - csc x +…

A: To integrate.

Q: Choosing between A B or C HW 12

A: We know that,

Q: 3π/2 tan x The value of integral dx tan x + cot x

A: ∫03π/2 tan(x) tan(x)+cot(x)dx Take the denominator(s)   and compare to zero:    x=π/2 , x=π If…

Q: 1. tan x sin x + cos I = sec x

A:

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: sin x cos x – tan x cos² x dx cos x cos? x sin x dx cos3 x 16. = sec x dx + cos x Let u = cos x ; du…

A: It is given that    ∫cosx-tanxcos2x dx We have to evaluate it.

Q: True or false sin* x 4 sin x cos x dx 4 True False Reset Selection

A: Use the method of substitution.

Q: Find the limits in Exercises 36-40  Are the functions continuous at the point being approached?

A: We’ll answer the first three questions since we answer only one question at a time. Please submit a…

Q: 5. (Double-angle formulas) Prove that a) sinh(2x) = 2 sinh(x) cosh(x) b) cosh(2x) = cosh? (x) +…

A:

Q: 3x2 sin(x³) Select one: а. In/tan x3 + cot x³| + c b. -In csc x3 + cot x³| +c С. с. In|sec x3 +tan…

A:

Q: 9(cos x – 1) sin z cos a – sin a O 9 tan + 9 seca O 9 cotx + 9 csc x O 9 tan + 9 csc z O 9 sin x + 9…

A:

Q: 6. h(x) = 5x sin-1x 7. h(x) = tan x – tan-i x 8. h(x) = 3 sec-x 9. h(x) = 14 cot"x+ 12 cos-x 10.…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: 4. Express the function f(x) = 11 sin x +7 cos x as a function in terms of sine. Express your answer…

A: To find 11sinx+7cosx in terms of sine function only.

Q: 6(cos² x – 1) sin a cos z – sin z O 6 cot x + 6 sec x O 6 tanz + 6 csc x O 6 sin z + 6 cos a O 6 tan…

A:

Q: 41 Prove al tanx + cosx= Sin X (sec x+ Cot x) メ b) Cos 2 ttan' t= Sin? t es Cos? (tan"x+ 1 = 1 %3D

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Second-order derivatives Find y″ for the following functions.

A: "Since you asked multiple questions, we will solve the first question for you. If you want any…

Q: : [5 cos(5)r – 3 csc²(x) ] dz =. Evaluate: O sin(5z) + 3 cot(x)+C O sin(5z) + 3 tan(x) + C O -…

A:

Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

A:

Q: (1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

A: We solve this by using trigonometry identity

Q: 4. f(x) = Cos Ex) – 5 Stnh (x) %3D 5. f(x) = Sin(3x)Cos(x) (Hint: use product-to-sum trigonometric…

A:

Q: y = 4 sin? x +5 cos² x y = sin* 3x – cos* 3x y = csc* x – 21 cot² x y = cot sin

A:

Q: JK JM sin x cos x + cos x sin x tan x + cot x = tan x + tan x + cot x = tan x tan? x + 1 sin? x +…

A:

Q: 9. Evaluate sin x dx a) S 1+sin x b) S sec x tan x- csc²x sec x + cot x

A:

Q: 6(cos² x – 1) sin a cos x – sin x O 6 sin æ + 6 cos e O 6 tan x + 6 sec x O 6 tanx +6 csc x O 6 cot…

A: We need to simplify the following expression 6cos2x-1sinxcosx-sinx

Q: x(1+x?) sin x+ cos x + x² cos x – x cos x (1+ x³)% = (1+x?)?[cos x– x(1+x?)sin x]

A: We want to prove that both equation are equal.

Q: 5(cos? x – 1) sin x cos x – sin x O 5 tan z + 5 sec x O 5 sin x + 5 cos x O 5 cot x + 5 sec ¤ O 5…

A:

Q: 3(cos? z – 1) sin x Cos x sin x O 3 cotx +3 sec x O 3 cot x+3 csc x O 3 sin x +3 cosx O 3 tan +3 sec…

A: The given question has been solved in detail with the help of following identities (x^2-y^2) =…

Q: tanº(x) cos“(x) O sin'(x)sec°(x)[7sin?(x) + 9cos²(x)] + C 63 tanʼ(x) [7tan²(x) + 9]+c 36

A: The properties to be used for solving the integral are: a) 1/cos4(x)=sec4(x) b) d(tanx)dx=sec2x c)…

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: 1-tan x 1+ tan x sec x-CsC X a. sin x + cos x sin x COS X b. sin x +cosX sin x + cos X C. sin x- cos…

A:

Q: tan (z) sec (z) sec" (z) dz is equal to: Scos (2) +C -3sec" (2) +C tan (2) sec (z) O 3se" (2) + C…

A: