4. = 1– 2sin?0 - 1+tan20

Q: Evaluate the following in the form of a + bi : (cos 30 + i sin 30 ) 4 A) -0.5 + 0.866i B В cos 120 +…

A:

Q: Prove: sin (2 cos x)= 2x1-x² %3D

A:

Q: Find the exact value of 2tan 15° /(1 - tan2 15°)..

A:

Q: Prove that: (1 – sin? x)(1 + tan? x) = 1

A:

Q: -IT 24 and 4 -7T Find sin 8x given that tan 4 8. -336 625 O 336 625 -336 225 336 225

A:

Q: Show that the following equation has a solution on (4,8). 2-53 sin()

A: To Show: The equation 2x-5=3 sinπ x8 has a solution on (4, 8).

Q: 7- The indicated power for (1+ i)20 by using De Moivre's Theorem is

A: Given: 1+i20 we compare, 1+i=x+iy we get, ⇒x=1 &y=1 Therefore, r=x2+y2r=1+1=2r=2

Q: tan(θ)=2410tan(θ)=2410, 0≤θ≤π20≤θ≤π2, then

A:

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: Which of the following identities hold? Select all that apply. Your answer: 8 13 + 3993 2 T In 1+ 11…

A:

Q: Prove that .. ICOS 55 577 3 Cos БП [Cos 4 isin STT 3 57 + i sin S11114 = ~1 6 G +

A:

Q: Evaluate the following (i) sin 78° cos 18° cos 78° sin 18° (ii) cos 47° cos 13° sin 47° sin 13°

A: These problems can be solved by using trigonometric formulas for sum and difference of two angles.…

Q: Which of the following correctly expresses 6sin (20)sin 0 as a sum? Select the correct answer below:…

A: Explanation of the answer is as follows

Q: 9. tan 72° z 12. cos 1° =

A:

Q: Evaluate the following expressions. Enter exact answers using fractions. in (o0 (- )) - 13 4 tan sin

A: We can evaluate the value of the given trigonometric functions by using the following equations.…

Q: 1 If x= tand , then dr coso do . (1+x²) ½° A True B False

A:

Q: #1. Evaluate (4cis #2. Given Z1 = 5 (cos 15° + i sin 15°) and Z2 4 (cos 120° + i sin 120°) Z1 a.…

A:

Q: Photo is attached

A: The given identity is,

Q: Verify the following identity 9 sec^2 x-5tan^2 = 5+4sec^2 x

A:

Q: prove 2sin-1 (3/5)=tan-1(24/7)

A:

Q: Prove the following identities as shown.

A: tan 2u=2 tanu1-tan2u

Q: Prove or disprove the following identity. sin3 0 tan0 + sin²0cos0 sinOtan0

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variable  for  the…

Q: Evaluate the followingintegrals.

A: We have to evaluate ∫-π4π4sin22θdθ Here given function is even and  we know that if function is even…

Q: 44. Determine which of the following is not true. 5л 5π 5π 3 6 6 COS- O A. 4 ,2 COS -sin² I T…

A: To determine which of the following is not true.A cos 5π3=cos2 5π6-sin2 5π6B cos 7π4=1+2 sin2 7π8C…

Q: З cos(21) - 3 3 tan(t) 2 Prove the following identity: 2sin(21)

A:

Q: Find all solutions of tan(3√x−5)=1 where k ∈ Z. (Notation: k ∈ Z simply means that k can by any…

A: Given:

Q: Prove the following: cos ^2+ tan^2=1

A: given:

Q: Express the following as a product of factors (1) sin 2x+sin6x +sin 8x (11) cos 54+ 2cos3.4+cos.4

A: We know that sin C + sin D = 2 sinC+D2 cosC-D2 cos C + cos D = 2 cosC+D2 cosC-D2

Q: Prove that the following statements are i0 (sin 0+ cos 0)' =1+2sin 0.cos 0 cos e (a) 1 (b) tan 0 sin…

A:

Q: 4. Prove that 13 1 13 1 < cos(1) 24 - 1440' 24 where 1 is in radians. 720

A: Solution

Q: which of the following are solutions to cos^2(x)=-cos(x) over the interval [0,2pie) 1.x=0…

A:

Q: Prove the following identities. 4. cos3a = 4 cos' a – 3cosa

A:

Q: 1-tan20 = 1- 2sin?0 1+tan20

A: 1-tan2θ1+tan2θ=1-2sin2θ Formulas 1+tan2θ=sec2θ1-cos2θ=sin2θ 1secθ=cosθ

Q: PROVE THE FOLLOWING IDENTITIES: tan4x + tan2x = sec4x − sec2x

A:

Q: 4. Robin claims that tan 45° is equivalent to cos 90°. Bradford very adamantly disagrees with Robin…

A: Solution

Q: Prove the given cos 78° cos 42° cos 36° 8. II

A:

Q: Find each of the following in the x+ iy form and check your answers by computer. in sinh ( In 2 +…

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

Q: Evaluate the following (i) sin 78° cos 18° cos 78° sin 18° (ii) cos 47° cos 13° -sin 47° sin 13° |

A: here we must know these formula: 1) sin(A-B)= sinA cosB - cosA sinB 2) cos(A+B) = cosA cosB - sinA…

Q: Evaluate the following: 1. sin (20), if sin (0) =and <0 <

A: We have to find the given trigonometric function.

Q: E. Prove. 1+ cos20 – cos²0 = cos20 %3D

A: To prove:- 1+cos(2θ)-cos2(θ)=cos2(θ)

Q: Prove that there exists a value of x so that cos x = cos−1 x with full math solutions

A:

Q: Prove the following identity: 9. sin 3u = 3 sin u - 4sin ' u %3D

A: Given : sin3u = 3sinu - 4sin3u

Q: prove the following identities 1. (sect − sin(π/2 − t))(sec(π/2 − t)−sint) = tant − tantsin2 t…

A:

Q: 15. If 0° <0 < 90° and cos 6 =, find sin 20. %3D O 282 121 O 84V2 121 121 O 21/2 121

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Q: If sinθ=12/13, what does tanθ=?     51/2   12/5   5/13   13/12

A:

Q: 9.2. If z1, z2 # (1/2) + kT, show that tan 21 = tan z2 if and only if 21 = 22 + kT, where k is an…

A:

Q: 2tane h. 1+tan20 2sinecos0 %3D

A:

Q: show that. 19 -18 O Sin 8= ē-e 2) Sin(-9) = -Sing 3) coshio = cose %3D 2.

A: Here we use the properties of trigonometric functions and hyperbolic function.

Q: Given cos(C) = cos(N) in AABC and ALMN, select all of the true %3D statements. 7.

A: Now,  we will find the true statements.