Use the formulas 1 1 i0 cos 0 = (e" + e-) and sin0 = 2i to obtain the identity 1 (cos 40 – 4 cos 20 + 3). 8 sin 0 = -

Q: Find the exact solutions to each equation on the interval of [0,2π). 1. 4 cos2 (π/2 - t) - 3 =

A:

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: If sino + sin'0 +sin' 0 = 1, then prove that cos 0-4 cos* 0+8cos 0 = 4.

A: sin2 x + cos2 x = 1.

Q: Find the exact value of the expression.

A: Our Aim is to find the exact value of the expression given below:-

Q: Find all solutions in radians using exact values only. sin(4x)cos(x) + cos(4x)sin(z)= 1 CO +.

A: We use the formula sin(A+B)=sinAcosB+cosAsinB with A=4x and B=x  Then use sin inverse

Q: Find the exact value of cos2 15° - sin2 15°.

A: We have to find the exact value of cos2 15°-sin2 15°Formula used :-Cos 2θ= cos2 θ-sin2θ -1

Q: Find all solutions to 10 cos2 r-13 cos T = -4 sec2 r+4 tan? r on 0, 27.

A:

Q: 2) VERIFY THE IDENTITY sin +0 =-cos 0. 2.

A: We need to verify the identity.

Q: Find z5, if z=2(cos π/3 + i sin π/3) and onvert answer into rectangular form.

A:

Q: what is the value of x if cos(5x+10)°=sin(4x−1)

A:

Q: Find the exact value of cos 70° cos 40° + sin 70° sin 40°.

A:

Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

A:

Q: Solve for θ if 0° ≤ θ < 360°. sin θ − √ 3 cos θ = √ 3

A:

Q: 0 12 cos 90°

A: 1) cos90 2)tan135

Q: Show that 2 tan'e cose =3 can be written in the form 2 cos'e+3 cos e-2 =0. Hence solve equation 2. 2…

A: Let's find.

Q: Find the exact value of (sin 14°)2 + (cos 14°)2 - 3

A: Given expression: sin 14∘2+cos 14∘2-3 The objective is to find the exact value of sin 14∘2+cos…

Q: Solve 1- sin (A) +1 2 cos(A) over [0, 27) %3D

A: We have to solve the given trigonometric equation in the given interval.

Q: Solve the equation Sin (20) = -'/2 /2 on the internal [o, 2) Cos 4x = cot (3x)=1 Cos 20/s =-1 %3D

A:

Q: Just tangent

A:

Q: find the exact value of cos 227 cos 167 + sin 227 sin 167 by using the formula for cos (a-b).

A: Solution :       We have to find the exact value by using the formula for cos(a - b)  = ? Now, Given…

Q: A = -, find sin 2. If 90° <0 < 180° and cos 0 :

A:

Q: Find the exact value of 2 COS²60- Sin ² 60

A: Let's find value of trigonometric function.

Q: Find the exact value of the expression. 1. cos 10° cos 50° - sin 10° sin 50° 2. sin 15° cos 45° +…

A:

Q: Find the exact value of the expression. sin 15° cos 45° + cos 15° sin 45° -/2

A:

Q: Find all solutions to cos(50) - cos(30) = sin(40) on 0 < 0 < 2n COS Give your answers as a list…

A: Given: cos (5θ) -cos (3θ) = sin (4θ) To find the all the solution

Q: the exact value   Cos θ= 3/5, 0<θ<π/2 a. Sin (2θ)= b. Cos(2θ)

A:

Q: Find the exact value of the expression. cos(170°)cos(50°) + sin(170°)sin(50°) O A. - V3 1 O B. 2 -…

A:

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 COS X = 5' * csc x < 0 sin 2x = cos 2x…

A: We answer the questions as below.

Q: Solve for 0 ≤ θ &lt; 2π. sin θ = cos 2θ

A:

Q: Find sin(2θ) if cosθ=− 1/3 and θ is in QII.

A:

Q: Solve for 8: cos 1-3 cos8+2 = 1, (00). sin?

A:

Q: If sin θ =1/4 and 0 ≤ θ ≤π/2 (a) determine the EXACT value of cos2θ (b) determine the EXACT value…

A: Solution

Q: 5n 25) cos 12 + sin sin 12 12 cos 12

A:

Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

A:

Q: Find cos 20 if sin 0 %3D cos 20 = %3D

A:

Q: if 0°<θ<90° and sin⁡θ=3/8, find cos⁡2θ.

A: To find: cos2θ Given information: if 0°&lt;θ&lt;90° and sinθ=38 Formula used: cos2θ=1-2sin2θ

Q: 1. Amna needs to decide if the equation sin² 0 = 1- cos 0 is an identity. Choose 3 possible 1+cos e…

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

Q: 4. Solve 3 tan 0 – cos 0 = sin 0 for , 27| COS

A:

Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: Solve 8 sin(20) +1 cos() = 0 for all solutions 0 < ¢ < 2n

A: Apply the double angle identity, sin2ϕ=2sinϕcosϕ Then substitute the above into the equation and…

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0 %3D sin(2x)…

A:

Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

A:

Q: Which expression is equal to sin^4⁡x−cos^4⁡x / sin^2⁡x−cos^2x using identities?   −1   2   1…

A: The given expression is .sin4x-cos4xsin2x-cos2x Use identities a2-b2=(a-b)(a+b), where a and b are…

Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

A:

Q: sin 61° = cos ; cos 17° = sin 0;

A: Given: sin61°=cosθ;cos17°=sinθ

Q: Find the exact value of the expression. sin293° cos 23° – cos293° sin23°

A:

Q: f cos 9 alpha = sina and 9 alpha < 900 , then the value of tan5 alpha is

A: