Let us find out if you really understand the discussed concept by answering these exercises. 1. Given sin ß = in QII, and (6, -8) is on the terminal side of a, find the exact value of sin(a +B).

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We need to solve differentiation problem.

Q: If sin (2x) = cos (x + 30), what is the value of x ? 20 O30 110 50

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: 1) Compare the formulas for Sin(A+B) and Sin(A-B) State Sin(A+B)= !! State Sin(A-B)= How are they…

A:

Q: The expression S sin*t cos*tdt , when evaluated will result to sin 4t +t -sin 4t + -t+ 128 sin 8t +…

A:

Q: TO is equal to 10 TO 4. The value of 4cos -3 sec 10 tan 30

A: We will find out the required value.

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

A:

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: (c) %3D 2. sin (0-) us (q) %3D sin sin 20 = (a) 6. find the exact value of each expression below.

A:

Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

A:

Q: Given sin b=5/13 in qii,find the exqct value of sin(2B)

A: Given that         sinB = 5/13 , where B is in Q II.      We have to find the value of sin2B.

Q: 11. What is the general solution, in radians, to the equation sin 2x +2 cosx = 0? A. TT + -n, where…

A: According to the question, we need to determine the general solution of this trigonometric equation.…

Q: x = = sin-t 9. y = sin t

A: Parametric equation: - The equations x=x(t) and y=y(t) are called parametric equations, and t is…

Q: How can we find x using SohCahToa? sin 34 = %3D y cos 34 = tan 34 = 34°

A:

Q: Given sin(a) = and 0 < a <T/2, find the exact value of sin(a/2).

A:

Q: The value of b that would make the equation cose= sin (0+ b) true is T -T

A:

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: 1. Given the equation sin(y) + cos(r) = 2, find

A:

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

A:

Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: sin (x- ) + 2 ? 37 Find the domain and range of the function y

A: Given: y=-23sin13(x-3π4)+2 To find domain and range of y.

Q: 19 21 Choose the function that could be used to find the measure of the angle with the "?". sin COS…

A: Given: A right-angled triangle with hypotenuse 21 units, and a side as 19 units. From the unknown…

Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: Find sin M th M 10.5 %3D MP = 9.25 PJ 13.99 MJ

A:

Q: Y= COS O 3n O 21 1/3

A: The equation of a sinusoidal function is of the form y=AcosBx+C+D. Here, x and y are variables and…

Q: Find the exact values of the remaining trig functions if sin a =4/5  and a is an acute angle.

A: Given sina=45 where, 'a' is an acute angle

Q: 10. Given sin 0 = , what is tan 0? 2V6 a. 7. b. zV6 2V7 C. sV6 d. 12 9.

A: As mentioned question 10 is solved

Q: 1. What is the value of tan30°? V3 а. 2 3 b. 2 d. 1 2. What is the value of sin45°? 1 a. 2 C. 2 d. 1…

A: 1. tan 30°2. sin 45°3. sec 60°+csc 30° Note:     Question contain multiple part, we are answer only…

Q: Find the exact value of cos(x + y), given sinx = 3/5, cosy = 4/5, x is an angle in Quadrant II, and…

A: Topic = Trigonometry

Q: For sin 2x+ cos x = 0, use a double-angle or half-angle formula to simplify the equation and then…

A: Given data:   The given expression is sin2x+cosx=0. The given interval is [0,2π).   The given…

Q: a. Which one of the following choices is equal to sin? y – cos² y?

A:

Q: Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the…

A:

Q: 9. sin ở In(cos 0) de

A: let I=∫sin θ ln(cosθ) dθ Integration By parts: ∫udu=uv-∫vdu u=ln( cosθ) ; du=1 cosθ-sinθdθ=-tanθdθ…

Q: (x +:) + sin (x – ) = A, then the number A is equal to 3.

A:

Q: Given sin(a) = and 0 < a < T/2, find the exact value of sin(a/2).

A:

Q: If sin A = 3/5 with A in QII, find the following. Express your solution as a fraction.      a. cos…

A:

Q: 4. How many solutions for x would the following equation have for any positive value of b? Justify…

A: Given:   for the given tan bx =12,…

Q: Which of these is not a solution to the equation sin° (x) = sin (x)? 4 2

A:

Q: csc(cot a)+cos? a sin? x dx

A:

Q: Given sec(a) = 5/2 and sin(b) = -1/4, and a and b are both in the interval [(3pi)/2, 2pi). Without…

A: Topic-trigonometry

Q: Find the exact value of the trigonometric expression given that sin(u) = - 3 where 371/2 < u < 27t,…

A:

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

A:

Q: What is the value of x in the equation x = 2Arc sin? 1) 2) 3) 플 4)

A: We have to find the value of x from the given equation.

Q: 3. Which is the solution to the equation sin?x = 3cos²x, x = 3 3

A: Given the equation: sin2 x=3cos2 x We know that  sin2 θ+cos2 θ=1 So, sin2 x=31-sin2 xsin2 x=3-3sin2…

Q: The expression D (sin x) is equal to sin ( x + 2. 学)

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: Given a + B = 7, show that 2 – 2 sin (a) sin (B) = cos (@) + cos? (8). %3D

A:

Q: 3 and t <Os, then sece is equal to: 5 37t - 1. If sin 0 - 5 a) 4 4 b) 5 4 c) -

A: Given:  sin θ = -3/5     π ≤ θ ≤ 3π/2

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.