Verify each identity.     cot x = cos 3 x + cos x / sin 3 x - sin x

Q: Establish each identity given in attachment.

A: To establish the identity  cosθ+1cosθ-1=1+secθ1-secθ

Q: sin x+ cos x-sin'r 9) 5) = cot x+ cos' x sin x

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Establish each identity.

A: To solve the identity using the trigonometric ratio there are six trigonometric ratios that…

Q: Establish each identity. as attached.

A: Assume x=2u in the equation cos2(2u)-sin2(2u)=cos(4u) that will be cos2(x)-sin2(x)=cos(2x) and than…

Q: 11. Verify each identity. sin 2x - 2 a) cot x+ tan(-x) sin(-x)cos x

A:

Q: Prove the following identity: Sec/cos - tan/cot = 1

A: Prove the following identity secxcosx-tanxcotx=1

Q: Establish each identity given in attachment.

A:

Q: Prove each identity.   sin  (pi/6 + x) + sin  (pi/ 6 - x) = cos x

A: Given: prove that sinπ6+x+sinπ6-x=cosx we know that sinC+sinD=2sinC+D2cosC-D2

Q: Establish each identity given in attachment.

A: Trigonometric identities help to establish attachment. Since the right-side expression of the given…

Q: Complete each trigonometric identity with an expression involving cos 2x. (a) sin2 x = _____ (b)…

A: cos(x+y) is given by ,                                  cos(x+y)=cos(x)cos(y)-sin(x)sin(y) so the…

Q: Establish each identity. as attached.

A: We have to establish the given identity: sin 3θsin θ-cos 3θcos θ=2 We know the identity, sin 3θ=3…

Q: Establish each identity given in attachment.

A: To prove the given identity, 1-2 cos2θsin θ cos θ=tan θ- cot θ, start from the left hand side and…

Q: Prove each identity    cos 4 A- sin 4 A = cos 2A

A: Given: prove that cos4A-sin4A=cos2A we know that cos2θ-sin2θ=cos2θcos2θ+sin2θ=1

Q: Establish each identity given in attachment.

A: Given equation: 1-sin2θ1+cosθ=cosθ

Q: 1- cotr sin' x- cos? x 2) 1+ cotx

A:

Q: Prove each identity.   . cos  ( x+ 90 degree  )+cos (x -90 degree )=  0

A: We know that cos90°-x=sinx and cos90°+x=-sinx And cos-x=cosx Therefore,…

Q: Prove the given identity. tan0 + cot0 = csc@sec®

A:

Q: Select which of the following are a correct identity Select one or more: O sin (e)- cos (0) = 1 o…

A: solution:

Q: Prove each identity.   cos  (pi/3 + x) + sin  (pi/ 6 - x) = cos x

A: The given equation is not an identity. The correct identity is, cosπ3+x+sinπ6+x=cosx We will prove…

Q: Establish each identity.

A: Given: sec2θ2=21+cosθ

Q: Verify each identity. 9) cos (90° - 0) = sin e 10) sin (0+ 270°) = -cos 0

A:

Q: Establish each identity given in attachment.

A: Given: The identity cos3π2+θ=sinθ The given identity  can be proved as,…

Q: Verify the identity  Cos^2theta(Tan^2theta + 1)=1

A:

Q: 1+ cos 2x = cot x %3D sin 2x

A:

Q: 1. Verify each identity. 1-cose a. = csce – cote sine sect-csct tant-1 b. sect+csct sin0+cos0 С. %3D…

A: 1.a

Q: Find the exact value of each expression, if it is defined. (If an answer is undefined, enter…

A:

Q: Establish each identity.

A: To prove : sinπ+θ=-sinθ Concept used: Trigonometric identity sin(s+t)=sinscost+cosssint Here, s and…

Q: Verify the identity csc (20)- sin (20) cot (20) COS co (20)

A: We have to check

Q: Find the exact value of each expression.2 sin2 60° - 3 cos 45°

A: Given expression, y=2sin260∘-3cos45∘ we know, sin2x=2sinxcosx y=22sin60cos60)-(3cos45 from…

Q: Find the exact value of each expression. cos 255° - cos 195°

A: To find the exact value of expression  cos225o-cos195o

Q: 1. sin(csc0-sin) = cos²0 2. tan² (1+cot²0)= sec 0

A: Given :1) sinθ(cscθ-sinθ)=cos2θ2)tan2θ(1+cot2θ)=sec2θ   To verify : Identities given

Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

Q: Establish each identity. csc(20) = se sec 0 csc 0 а. sin(30) b. sin 0 cos(30) - cos 8

A: In this question we have establish each identity.

Q: 10. Verify the identity. cos?x - tan?x cot2x – sec²x = sin²x

A:

Q: Use Double-Angle or Half-Angle Identities to simplify the given expressions: (a) If…

A:

Q: Use the equivalent forms of the first Pythagorean identity. e and 0 terminates in QI. Find sin 0 if…

A: Given:

Q: Prove each identity.   sec  (A+B)  = cos  (A-B) / cos 2 A - sin 2 B

A: To prove: secA+B=cosA-Bcos2A-sin2B

Q: Verify each identity. cos x = cot x %3D sin xsec x

A:

Q: Use the sum-to-product identity to find an expression that is equivalent to cos(15ß) – cos(9ß).

A: you can clearly understand if you follow the below solution

Q: Use the equivalent forms of the first Pythagorean identity.If  cos θ = 1/2  and θ terminates in QI,…

A: Given,

Q: Derive the identity using the identities listed in this section.

A: Given trigonometric equation is tanx=cotπ2-x.

Q: Verify the identity: (1 + cos θ)/sin θ = csc θ + cot θ.

A: Verify the identity.

Q: Find the exact value of each expression, if it is defined. (If an answer is undefined, enter…

A:

Q: Find all possible values of each expression in radians and degrees. 9. -1 cos 10. sin -1 11. tan 12.…

A:

Q: Verify the identity. 1 − sec α cos α ≡ tan α cot α − 1

A: Given: verify that 1 − sec α cos α ≡ tan α cot α − 1