1+ Cos 0 1-Cos 0

Q: establish each identity.

A: To prove the identity: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ Proof: We know that, sin2θ+cos2θ=1 Left…

Q: Establish each identity.

A:

Q: sin (7π/6) + cos (3π/2)

A: Given,

Q: Establish each identity.

A: The given identity is,  1-cos θsin θ+sin θ1-cos θ=2 csc θ The objective is to establish the…

Q: sin 0- cos 0+1 sin0+1 (c) sin 0+ cos 0-1 cos 0

A: Given: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: sin*0 – cos*0 = sin²0 – cos²0 %3D

A:

Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

A:

Q: 2 cos2(0) - cos(O) - 1 = 0

A:

Q: 2π -1 Cos | =0 sin %3D 3

A:

Q: (1-tan2즐) (1+tan²=) COS X = %3D 2.

A: Use the trigonometric identities and rearrange the expression.

Q: cos 0 sin 0 0 - sin 0 cos 0 0 1

A: Here we get one real and two complex eigenvalues. We calculate eigen vector only for real…

Q: 4sin(x)cos (x)+2sin(x)-2cos(x)-1=0

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 2-[ ( 6 sin 2t – 5 cos 2t ) 6. 3+2S 4-1

A:

Q: Establish each identity.

A: To establish the identity: sinθ+cosθ2+sinθ-cosθ2=2 Proof: We have identity, a+b2=a2+b2+2ab…

Q: 2) cos (0 + n) = -cos e =-COS

A:

Q: 3 sin(0 + 27) = 1 sin 0 cos O O - sin 0 2 sin 0 O sin 0 cos 0

A:

Q: 20. е -3.1х cos 2.1x, e -3.1х sin 2.1x

A:

Q: 1- sin 3 Cos B 1+ sin 8 Cos 3

A: We have prove the identity 1-sinβcosβ=cosβ1+sinβ , using trigonometric properties or mathematical…

Q: 1+ cos(0) sin(0) sin(8) 1 + cos(0) = 2 csc(0)

A: Given: 1+cosθsinθ+sinθ1+cosθ=2cosecθ

Q: 1- cos 0 + sin 0 sin 0 2 csc 0. 1- cos 0 |

A:

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

A:

Q: 1- cos () 1- cos(x) 1- sin°(;) 1+ cos(x)

A:

Q: 39. cos (7 + x) 40. sin(27 - x) 41. sin 42. cos + x 2

A:

Q: 5 sin coso do 2 Sin ² + 3 sin 0 -4

A:

Q: cos(2 + x () 2 + cos x

A:

Q: (1+iV3)" + (1– iV3)" = пл 2n+' Cos(- 3 2" Sin(- 3 (1 – (iV3))2n 2" Cos(- 3 00 2n+ Sin( 3

A:

Q: (1 + cos α)(1 − cos α) = sin2 α (1 + cos α)(1 − cos α) = 1 −(     )=sin2α

A:

Q: -1 cos COS 2)

A: Given: - The expression is, cos-1-12 To Evaluate: - The solution of the given expression.

Q: sin(cos-(0.7068)) O - 1.2926 O 0.7074 2.7074 -0.2926 1.7074

A:

Q: 4. 1-3 cos x-4 cos² x 2 sin² x 1-4 cos x 1- cos x

A:

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: 7. I. csc e - Cos 0 cot 0 = sin 0 II. (sin 0- cos 0)² = -1 COS %3D

A: Given that I. csc θ-cos θ cot θ=sin θ II. (sin θ-cos θ)2=-1

Q: 3. 2 cos¹ √x = cos ¹(2x-1) 0≤x≤1

A: We have to find out

Q: Prove the identity: sin(0)-co sin (0) +cos (0)–1 cos (8)+1 sin(0)+1 cos(8)

A: On proving this we will get

Q: 1 1 -2 cot x csc x x %3D 1+cos x 1-cos(-x)

A:

Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: 3 cos(0) sin(0) + 2 cos(0) = 0

A:

Q: 3 cos(cos-1() 10-

A: SOLUTION-

Q: sin 0 13. Prove that 1 - = Csc 0(1 + cos 0). Cos 0

A:

Q: sin cos 4 12 cos sin 12 4

A:

Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

A:

Q: 1- cos(20) cOS 2. sin(0)

A:

Q: cos 0 + sin 0 2 COS 0.

A: We use the Pythagorean identity to write the expression using sin only

Q: Cos 0/2 -cos 0=1

A:

Q: 0. (sin 0 + cos 0)² = 1+ sin 20 %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: sin(cos (0.715)) O 2.6991 O -1.3009 O -0.3009 O 1.6991 O 0.6991

A: Given,               sin(cos-1(0.715))

Q: cos(cos^-1(3/5)) =

A:

Q: 2 + cos 0 = 1 + 2 sin² 0

A: The given equation is  2+cosθ=1+2sin2θ The given set of possible answers is  -π3,-π4,π6,π4,2π3,π,3π2…