For Exercises 19–26, use an addition or subtraction formula to find the exact value. (See Examples 2 and 5) 5T tan 4 + tan 35л 20. cos- 357. 5T + sin 18 12 19. sin 140°cos 20° – cos 140°sin 20° -sin 18 COS 21. 18 18 5T 1 - tan tan 4 12 tan 15° – tan45° 35л 22. sin- cos 36 137 35т . 13т sin- 23. сos sin- 24. 1 + tan 15° tan 45° sin COS 3 6. cos 18 36 18 10T 26. sin- 10л . 7т sin 9. 25. cos 200°cos 25° - sin 200° sin 25° + cos COS 18 18

Q: Express tan H as a fraction in simplest terms. V58 F V83 Answer: tan H %3D Submit Answer attempt 1…

A:

Q: Which of the following represents a correct substitution used to compute: a2 da 4 sec2 (0) de a) O…

A:

Q: If z= asen(xy)cos(xy), with a > 0, then the result of simplifying the expression: az əz *əx ây…

A:

Q: 44. If it is given that Efx= - 100, E f = 400, E fx = - 1000, Efx = 5000 and %3D N= 10, find the…

A:

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: 2 Given tan 0 = -and sin 0 > 0, find cos 0. %3D Cos 0 _ 3/13 13 О А. O B. cos O 0 = 3/13 COS %3D 13…

A: The given data is: tan θ= -23  and  sin θ> 0

Q: Let o,= 2 (cos 45° + i sin 45°), @,= (cos 30° + i sin 30°), calculate a. @j @2= b. o, / 0,= с. О d.…

A:

Q: can you help me step by step please

A:

Q: (b) Compute sin 20. Hint: sin 20 = sin(e + 0)

A:

Q: figure th

A: 1) Here we have to find the ∠RST=?

Q: Evaluate f æ° sin (ax²) dx оа. sin (az²) 2a2 z cos (az?) 2a +C b. sin (az?) 2a2 sin (az²) z cos…

A:

Q: Using an appropriate substitution, f sin³ (x)cos®(x)dx is equal to: sinx + C sin13x + C 13 sin11x…

A:

Q: 21. Let h(x) = tan(5x + 6). Then %3D h'(2) is and h"(2) is

A: 21) The given function is: h(x)=tan(5x+6) To find h'(2) and h''(2)

Q: n 3T I sin(ra*) dzdy

A:

Q: = Suppose that P(A | B) = 0.76, P(A) 98.765). 0.47, and P(B) = 0.21. Determine P(BIA). Round your…

A: We have given that,  P(A|B) = 0.76, P(A) = 0.47 and P(B) = 0.21 Then,  We will find P(B|A) = ?

Q: A certain substitution gives S sin³ x cos" x dx = S(u7 – u5) du. What is n?

A:

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

A:

Q: The approximation to a root of the equation x^2+x-1=0 in the interval [0,1] b applying the regula…

A: The given equation is x2+x-1=0  find the value of f(0) and f(1)  fx=x2+x-1f0=02+0-1=-1…

Q: Hence, using chain rules find y' i. y = sin(2x² + tan(6x² – x)),hint: u = 2x² + tan(6x² – x) ii.y =…

A:

Q: Answer: The approximate value of sin 29° is O sin 29° s 1( 29x 2 180 6)+ O sin 29° V3 ( 29x O sin…

A: Please see the explanation below

Q: Suppose that P(A | B) = 0.71, P(A|B') = 0.82, and P(B) = 0.23. Determine P(BIA). Round your answer…

A:

Q: Chapter 12, Section 12.1, Question 003 Find the domain of r(t) and the value of r(to). r(t) = cos…

A: r(t) = cos(πt)i-ln(t)j+√(t-8)k

Q: Which of the following is a solution to the equation z³ = (√√3 + i) ? A) 2¹/3[cos(11π/9) + i…

A:

Q: 60. Does knowing that 2|xy| x²y? < 4 – 4 cos V|xy| < 2|xy|| tell you anything about 4 – 4 cos V]xy|,…

A: According to the given information, the given fact is:

Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: For Exercises 3–10, write the product as a sum or difference. (See Example 1) 3. sin 5x sin 8x 4.…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 1. Assume it is known that cos(x – y) = cos x cos y + sin x sin y for all real numbers x and y.…

A: Solving Q1 Given: cosx-y=cosxcosy+sinxsinycosπ2=0sinπ2=1cos0=1sin0=0sin-π2=-1

Q: 4. * S sec? (4t) (3 – tan(4t)) dt 1 (3 – tan (4t))* + C (3 – tan (4t))* + C 16 - - B. 1 (3 – tan…

A:

Q: Solve the following over the interval [0, 27]; Sin 2x Cos *- Sin x = 0 O 0, 0, 6 O 0, 7, 2m, , O 0,…

A: Given sin2xcosx-sinx=0 The trigonometric identity used is sin2x=2sinxcosx So the expression becomes…

Q: Consider (e cos 4 + ie sin 4) (11+12:) cos 4+ ie sin 4) (11+12i) 3DZ What is the general value of z?…

A: Euler's formula is given as that e^(ix) = cos(x) + i sin(x).

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

A:

Q: #9

A: To determine the value of the trigonometric ratio.

Q: Chapter 4 1. If f(x, y)= 3x' sin y- y° cos. cos x- 2y n x - xIn y- 4xy , find- ôf ôf ô²ƒ ô²f a²f _…

A:

Q: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =? ,…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: Let sin(2x + 8y7) x4 + y6 if (x, y) # (0,0) f(x, y) = < if (x, y) = (0,0) Which of the following…

A:

Q: In order to evaluate Vx2 - 6x + 45 d, the correct substitution is Ox = 6 – 3 tan(t) O x = 6 + 3…

A:

Q: Solve the eaation on the interval. 2sin Đ =3(cos o t D

A:

Q: Given that cos(2t) = 2 cos (t) – 1, it follows that L{cos"(t)} =;( +:). O True O False

A: We need to find Laplace Transform of f(t) = cos2(t) But , cos2t = 2cos2(t) - 1  ⇒ 2cos2(t) = 1 +…

Q: 17. If 2 tana tan?ß tan?y + tan a tan-ß + tan B tany + tan?a tan?y 1 (a. B.y e R. a. B.y (2x+1)…

A:

Q: Using an appropriate substitution, f sinº (x)cos'(x)dx is equal to: cosl +C 11 cos 11 O Ths opton O…

A: We will find the integral by substitution as following-

Q: sec 0 + In + 27+3 = -3 2 In y? + 327 – 4 = 1+ cos 20 2/1+ (tan 0)² + 2ln /y + 22 = -3

A:

Q: Find an expression of for y = 2*ev*, Hint: (a*) = a* . (x) · In a

A: We can find the derivative as below

Q: Sino = 3. To 0= 19.47 /-

A:

Q: Using an appropriate substitution, S sin (x)cos®(x)dx is equal to: sin°x sinx + C 11 cosx cos x + C…

A:

Q: now that cos(ak – a/2) 2 sin(a/2) E sin(ak) : (1 %3D Taking the difference of cos(ak), A cos(ak) =…

A: We have to solve given problem:

Q: S(1,9) =2Inc* + y° )• 3y° tan"), then prove that B.(i) If дхду дудх

A:

Q: Express sin A, cos A, and tan A as ratios 12 20 16 OA. 3. 4. 5 5 O B. 4. 4. 31 ос 4 3 4. 5 5 3 O D.…

A: then         Sin A = B CA C        Cos A = A BA C       tan A = B CA B

Q: Evaluate / 8 sec ædx. O a. 8(sec z + 8 tan" z)" + C O b. 8 tan" z + C c. 8 sec z + 8 tan" æ+C 8 8…

A: Given: ∫8 sec4x dx.

Q: Evaluate (5x2+3) cos x dx O (5x2 + 1) sin x + 10x coSx – 10 sin x+C O (5x2 + 1) sin x – 10x coSx –…

A: