cos(2æ) Select an identity for cos(x) O cos(x) · cot(x) – sin(æ) O csc(x) O cos(x) – sin(æ) · tan(x) 2 1. | O 2 sin(x) O 2 cos(x)

Q: g) cos () lim x cos X COS

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: sec x- sin xtan x= cos

A: see 2nd step

Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)

A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: (÷++) + co« (5 - ). cos 3 x ) is equivalent to O cos 2x cos x O sin x cos x

A:

Q: cos-1(cos x) = x for every x in the interval________.

A: To find the interval.

Q: sin α=3/5, 0<α<π2​; cosβ=(2√85)/85, −π2<β<0   ​(a)   sin(α+β)         ​(b)   cos(α+β)         ​(c)…

A:

Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

A:

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

A:

Q: √2 cos x csc x=2 cos x

A: 2cosxcscx=2cosx

Q: cos² x COS X + sin" x cos? x %3D 1. Use the identities to prove 1+ tan x

A: It is trigonometric identity problem.

Q: -4 Evaluate /(cos' x sin x + cos x sin-6 Select one: a. -csc³ x + sin x + C b. -csc x + csc x + C С.…

A: Need to solve integration

Q: sin x cos x-1 %3D COs x+1 sin x

A: sin xcos x +1+cos x -1sinx=0

Q: Prove the identity:  sin (x+y) - sin (x-y) = 2cos x sin y

A: Here we use two sine formula for the function:

Q: Verify the identity.

A: 2cos⁻¹x = cos⁻¹(2x²-1) , 0 ≤ x ≤ 1 RHS = cos-1(2x2 - 1)Let cos-1(2x2 - 1) = AcosA = (2x² - 1)cosA +…

Q: Simpliy Hhe fAllowing Cos 180°. Sin 25. Cos 80 Sin 170°. fan135 tan 225 . Sin (g0°40) + Cos (180 ).…

A:

Q: 1. Verify the identity. Show all steps. sin x tan² x-sin x = tan x (tan x – 1) cos x sin x+cos x

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

Q: cos x = 1/2 Find x

A:

Q: sin 3x Prove the identity 4 cos x- sec x. sin x cos x

A: To proove: sin3xsinxcosx=4cosx-secx

Q: sin(x) 4. lim x→0 1 – cos(2x)

A: The solution of the problem is given in the next step.

Q: True or false: cos-1 x =1/cos x________.

A: Here given  cos-1x=1cos x

Q: lim, ol cos(a)x – cos (b)x

A:

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

A:

Q: identities: 1. sin(3x) = (sin(x))(4(cos(x))² – 1)

A:

Q: cos² x 3D1-tan x cos x 1+ sin x

A:

Q: sin x-1 lim cos x 2

A: Answer and explanation is given below...

Q: I = cos? x sin x In(cos x)

A:

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

A:

Q: Prove that

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

Q: Simplify (cos x- sin x)(cos x+ sin x). sin x cos x O 2 cos x-1 2 cos x+1

A: Given: cosx-sinxcosx+sinx

Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

A:

Q: Verify the identity.

A: Given: verify the identity cos3x+cos5xcos3x-cos5x=cotxcot4x we know that…

Q: x2 - 2x + 3, x<0 cos를+2. + 2, COS Evaluate f'(-2) and 4.

A: It is given that,       fx=34x2-2x+3 , x&lt;0cosx2+2 , x≥0 Evaluate f'(-2).

Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: sin x+ tan x sin (2x) 5. Determine the non-permissible values of the identity 1+ cos x 2 cos x Cos3x…

A: Solve using properties trigonometric identities

Q: sin (x) + cos³(x) = 1 - sin(x) cos(x) sin(x) + cos(x) sin (x) + cos°(x) - (sin(x) + cos(x)) (…

A:

Q: cos x+ coS x= 1

A: Definition used -               Solution of trigonometric equations -              If there is a…

Q: cos'x Evaluate : 3/5 sin' x( sin' x+ cos x)

A: Integration of the given expression  is :-

Q: sin (x-b) If it is known that sin (b) = - 1, It is equivalent to 1+tan²(x)' O a) cos (x) Ob) – cos…

A: Some of the important identities of trigonometry are as follows:  sin2x+cos2x=1 secx=1cosx…

Q: 2 sin(-2 x) lim ثم أختر الاجا أحسب الغاية التالية )0.3 sin (x ( 5 4 0.5 O O الغاية غير موجودة 1 O…

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: 6(cos² x – 1) sin a cos x – sin x O 6 sin æ + 6 cos e O 6 tan x + 6 sec x O 6 tanx +6 csc x O 6 cot…

A: We need to simplify the following expression 6cos2x-1sinxcosx-sinx

Q: entity. Cos (x- 90°)- cos(x+90°) = 2 sin x COS %3D

A:

Q: CoS X Which of these is an efficient first step in proving the identity 1+ sin x 1- sin x :? cos X

A: To prove cos x1+sin x=1-sin xcos x

Q: x(1+x?) sin x+ cos x + x² cos x – x cos x (1+ x³)% = (1+x?)?[cos x– x(1+x?)sin x]

A: We want to prove that both equation are equal.

Q: 1. Verify the identity. Show all steps. sin x tan? x-sin x = tan x (tan x – 1) cos x sin x+cos x

A:

Q: 1 + cos X 1 - cos X

A: We are given with fraction need to evaluate.

Q: / [cos(x) – sin(x) ]dx Evaluate: A -cos(x) + sin(x)+C B ® cos(x) – sin(x) +C © - cos(x) – sin(x)+C D…

A: We know that integration of sinx is -cosx  And integration of cosx is sinx. Here i attached solution…

Q: 1- sin(x) A cos(x) +x+C COS 1+ sin(x) B -x+C cos (x): cos(x) -+C cos(x) – x 2cos(x) D 1+ sin(x)

A: