cos 0 sin 0 0 - sin 0 cos 0 0 1

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

A:

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: 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: Establish each identity.

A:

Q: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

A:

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

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: Establish each identity.

A: Consider the given identity sin θsin3θ+sin5θ=cos θcos3θ+cos5θ   Consider the LHS LHS=sin…

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: Establish each identity.

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

Q: Solve the equation for x, if possible.

A: Expanding along second column, we get

Q: 1+ Cos(x)- Cos (x) Sin(x) + Cot(x) Sin(x)

A:

Q: sin(8) cos(0) tan(0) = csc(0) sec(0) cot(0) ||

A: Follow next step

Q: Establish each identity.

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

Q: Establish each identity given in attachment.

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

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

A:

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

A:

Q: Establish each identity given in attachment.

A: To establish the identity, we need to prove that the left hand side is equal to the right hand side.…

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

A:

Q: Establish each identity given in attachment.

A: Consider L.H.S. : sin θ+cos θsin θ-cos θ -sin θcos θ=sin θcos θ-sin θ cos θ -sin2 θ sin θ cos θ =sin…

Q: Prove that

A: Given:d2ndx2nsinx=-1n sinxd2ndx2ncosx=-1n cosx

Q: 4 sin² x - 1 2 sin x + 1 2 sin x - 1

A:

Q: (sin 0 + cos 0)´ =1+ sin(20) s 0)° =1+sin(20)

A:

Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

A:

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: cos 0 - sin 0 tan (-0) = %3D 4 cos 0 + sin 0

A: tan(π4-θ)=cos(θ)-sin(θ)cos(θ)+sin(θ) LHS tan(π4-θ)=tan(π4)-tan(θ)1+tan(π4)tan(θ) [Because Angle…

Q: Simplify the expression.

A: We have to simplify the expression: sin3 θ+cos3 θsin θ+cos θ We know the formula for sum of two…

Q: sin 30 4. sin e cos e 4 cos 0 – sec 0

A: To verify the identity: sin3θsinθ cosθ=4cosθ-secθ. Proof: We have an identity, sin3θ=3sinθ-4sin3θ…

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: /(sin x+cos

A: We have to simplify of the given expression using the trigonometry formula

Q: 1. sin 0= Csc 0 = 40 cos 0= sec 0 = tan 0= cot 0 =

A:

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

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: sin cos 4 12 cos sin 12 4

A:

Q: Cos 0 sin 0+1 Multiply sin 0-1 by sin 0+1'

A:

Q: cos 2x 25. cos x- sin x A sinx cos X cos x + sin x 2 cos x + sin x cos x - 2 sinx B 2 sin

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 40 x Cos 20 + Sin 20 x Cos 40.

A:

Q: sin 50 Show that 16 cos 0 – 12 cos² 0 + 1. sin 0

A: given,

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.