63-66 - Graphical Addition Graph f, g, and f + g on a com- mon screen to illustrate graphical addition. » 63. f(x) = x, g(x) = sin x 64. f(x) = sin x, g(x) = sin 2x %3D 65. f(x) = sin 3r, g(x) = cos x 66. f(x) = 0.5 sin 5x, g(x) = -cos 2x

Q: Simplify the expression tan(sin -'(x)). (A) V1+x? (D) V1-x? V1+ x? (E) (С) х (B) V1-x?

A: To simplify: The expression . Formula used: Trigonometry identity:

Q: ELIMINATION OF ARBITRARY CONSTANTS 1. y = x² + Ae²x + Be3x 2. y = C,e*cosx + C2e*sinx

A: The solution for the asked question,question no.2 ,  is given as

Q: (x)sec²(x) [7sin²(x) +9cos²(x)] + C 63 1 an³(x) - = tan²(x) + C 1 an²(x) + tan³(x) + ( C 7(x)…

A: We will solve integral.

Q: sin (x) Since tan (x) = use the Quotient Rule to explain why Veft ( tan (x))=sec (x) dx %3D cos (x)…

A: We can find the answer as below using quotient rule.

Q: Line AB with endpoints A(-3,2) and B(-4,3) under the translation left two units and down one unit,…

A: We need to do find coordinates of A and B after translation i.e. A'. and B'

Q: Without solving, match a solution curve of y" + y = f(x) shown in the figure with one of the…

A: Given differential equation is y''+y=fx Given graph is

Q: sin(x) sin(x) Simplify: cos (x) cot (x)

A: Trignometric Identities Cot2x= Cos2x/Sin2x Sin2x+Cos2x=1

Q: Let `f(x)= (9 sin x)/(2 sin x + 4 cos x)`. (9 cos x) (2 sin x + cos x) – (9 sin x ) ( 2cox – 4 sin…

A: Given f(x)=9sinx(2sinx+4cosx). The objective is to find f'x and equation of tangent line at π2.

Q: sin-1 (5n sir a. csC b. 2 sec-(-2). C. csc-1(v2) d. arcsin е. %3D

A: We have to find the values of  (a) sin-1sin5π6 (b) csc-12 (c) sec-1-2 (d) csc-12 = π4    (e) sin-122…

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

A:

Q: 1) y = Arcsin(1 – x²) 2) y = Arctan Vx² + 2x 3) y = Arctan /t²-1 + Arccsc t

A: Given : 1) y = Arcsin (1 - x²) 2) y = Arctan (√x² + 2x) 3) y = Arctan (√t² -1) + Arccsc t

Q: HW/Prove that: . (1) tanx=cot! tan"x= cot-1 (2) sin x = csc -11. (3) sin (sin x) = x

A: We have to prove the identities 1. tan-1x=cot-11x2. sin-1x=csc-11x3. sin-1sinx=x

Q: 3D+1 {X²exZ (sin3 4-(b+1)

A:

Q: f(x)=cos(x) g(x)=cos(8x-pi)+7 Describe transformation Cycle g corresponds to interval (pi, 3pi)…

A:

Q: Derivatives

A: The given function is fx=cos5tan3sin2x5.

Q: Ísin^2 (x) cos^2 (x) dx * O 1/8 x -1/32 sin4x + C O 1/8 x - 1/32 sinx + C O 1/8 -1/32 sinx + C O…

A:

Q: Let f(x) = 3 · sin|3( x – 6 + 2. 1 Determine f-(x) and the the domain and range of f-'(x). Note: Use…

A:

Q: tan(x) - cot(x) = sec(x)(2 sin(x) – csc(x)) %3D tan(x) – cot(x) sin(x) cos(x) %3D cos(x) sin(x)…

A: We can use the trigonometric identities, sin2x=1-cos2x,  cos2x=1-sin2x tan x=sin xcos x, cot x=cos…

Q: 9) Enter the exact value (no decimals) of the es Sin (Cos' (²)) =

A: Since you have asked multiple question in single window , as a guideline i can only solve first one…

Q: sin^2 x + sin x cos x over cos x − 2 cos^3 x

A: This question is based on Trigonometric Formulas to simplify question.

Q: 2. Solve each proportion. SHOW WORK! 1. 3|4 a 45 = x 80 3 15

A:

Q: X=4 tan (2x) Period: Phase Shift: Vertical Shift: Domain: Range!.

A: