cos 0-2 cos 0 sin0 1-sin 0+sin²e-cos²0

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: sin² 0 = cos ( sin e 1-sin²0 cos 8 tan 0 sec 0 - cos 8 Trigonometric Identity: (

A:

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: Cos 40 x Cos 50 - Sin 40 x Sin 50.

A:

Q: sin*0 – cos*0 = sin²0 – cos²0 %3D

A:

Q: Establish each identity.

A:

Q: cos(0 + B) = cos 0.cosB- sin 0. sinB . cos(0 + 0) - cos 20 - cos2e-sin2e 1- cos 20 1-cos2e+ sin 20…

A: We have to prove the trigonometric result.

Q: Establish each identity.

A: The trigonometic formula is given by: sin A cos B -cos A sin B=sinA-B

Q: (cos(7+) +;cos(37x) +.) -1<x<0 7) S(x)=. 2r Ans. 0<x<1 2 sin(7 x) -sin(27 x) +

A:

Q: sin 0- cos 0+1_ sin0+1 sin 0+cos0-1 (c) cos e

A: consider LHSLHS=sinθ-cosθ+1sinθ+cosθ-1multiply and divide by cosx LHS=(sinθ-cosθ+1)…

Q: SIne tand cose Cos cosA cos Sint sinf 1. sine 1 sine cose sine sin coso 1- cos-0 sin20

A: Trigonometry: It is a relation between the sides and the angles of a triangle. There are six…

Q: 1) sin 0 + cos 0 = sin 0 cos 0 %3D 1-cot 0 tan 0-1

A: To prove sinθ+cosθ=sinθ1-cotθ-costanθ-1

Q: Quadrants of: cos-0>0, sin -0>0   Quadrants of: cos 0>0, csc 0<0

A: We have to find quadrant

Q: cos 0+cos 0 tan 0

A: 1+ tan²θ = sec² θ    cos θ = 1/ sec θ   use both we will simplify

Q: Verify the identity.

A: To prove: sin8θ =( 8 sinθ cosθ) (1 - 2sin2θ)(1 - 8 sin2θ cos2θ) Consider the LHS, sin(8θ) We have…

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: Cos e sin 0 sin 0 + cos 60 (1 - tan 0) (1- cot 0)

A: cosθ1-tanθ+sinθ1-cotθ=cosθ1-sinθcosθ+sinθ1-cosθsinθ=cos2θcosθ-sinθ+sin2θsinθ-cosθ=cos2θcosθ-sinθ-sin…

Q: sin(20) – cos(20) - 1 sin 0(sin 0 – cos 0) 2. Prove: 2 cot e

A:

Q: Establish each identity.

A: Given sinθ+cosθcosθ-sinθ-cosθsinθ=secθcscθ

Q: sin 2a + sin 4a 15. cota %3D Cos 2a - cos 4a

A:

Q: Establish each identity given in attachment.

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

Q: sin( + 0) - cos( + 0) = %3D cos 0 sec Ө CSc e sin 0

A:

Q: Establish each identity.

A: Given cosθ-cos5θsinθ+sin5θ=tan2θ

Q: cos 0 cos 30 - sin 0 sin 30 = 0 on the interval 0, 27) %3D *Hint: use Addition or Subtraction…

A: Use addition formula cos(A+B)=cosAcosB-sinAsinB

Q: sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

A: Given: sin2-θ-cos2-θsin-θ-cos-θ=cosθ-sinθ

Q: cos2r - cos4r - Cos4r sin2r + sin4r cos2r + cos4r sin2r - sin4r = cot x tan x sin x COS X I3D

A: Solved the given problem using concept of trigonometric identities.

Q: sin (sin " ()-cos *(4)-cos " (4). sin sin

A:

Q: 3. Solve Trigonometric Equation (a) 1+ sin 8 = 2 cos²0 (b) cos 0 + 1 = sin 0,0 € [0,2π) (c) √2 sin…

A: To solve the given trigonometric equations. Here we will use the following identities-…

Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

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: Approximate, to the nearest 0.1 , all angles u in the interval [0 , 360 ) that satisfy the equation.

A: To find the angle for each trigonometric ratios using a calculator changing the mode in the degree…

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

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: cos(x+π6)+sin(x−π3)=______

A:

Q: sin 0-2 sin3 0 1. 2 cos30-cose = tan O 1 2. tan? x(1+ coť x) 1-sin2x 1 3. sec ( 2 cos'x) = 2x2-1

A: we have to prove

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: cos- 0 + sin 0 = 1 COS

A: We know values of basic sin and cos, like sin0 = 0 = sinpi , sinpi/2 = 1 cos0 = 1 , cospi = -1,…

Q: sin²e-2 sin 0+1 sin 0 – 1 sin 0-1

A: Given: sin2θ-2sinθ+1sinθ-1=sinθ-1

Q: cos 0 1-tan 0 1-cot0 sine 4. Show that = sin 0+cos 0

A:

Q: sin cos 4 12 cos sin 12 4

A:

Q: 1+sine 3. - cose cose %3D 1-sine

A:

Q: sin3 (x) + sin(x) cos2(x)

A:

Q: cos 0 + sin 0 2 COS 0.

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

Q: 2 sine – sin 20 lim 8--0 sine -0 cos0 Evaluate

A:

Q: Cos 0/2 -cos 0=1

A:

Q: Sin0=1/2 cos0=1 sin0=-1/2 cos0=0 sin0=Root 3/2 cos0=-Root 2/2

A: We need to find theta.

Q: Sin 40 x Cos 20 + Sin 20 x Cos 40.

A:

Q: sin²A = 1 - cos²A cos²A - 1 1 + cos²A

A: sin2A