sec² (x) tan?(x) cot (x) sin(x) cos (x) sin(x) 1 1 3 sin (x) sin(æ) + II II II

Q: cos x- senx = cos4 x - sen x tan e tan a-1 tan a-coto (sec x + 1)(sec x-1) = tan?x

A:

Q: sin-1 3x - sin 3x lim x-0 tan-1 3x – tan 3x

A:

Q: sin(x) sin(x) 1 + sin(x) 1– sin(x) II

A: Given data: The given expression is sin(x)/(1+sinx)- sin(x)/(1-sinx). The given expression can be…

Q: Verify the identity:

A: Consider the left side of the identity sinx1+cosx+1+cosxsinx

Q: VERIFY THE IDENTITIES

A:

Q: sin x COS X 2. tan x %3D cot x = sin x + cos x

A: Given  The identity is sin xtan x+cos xcot x=sin x +cos x .

Q: (sin x - cos x )² + 2cos x sin x

A: To simplify trigonometric expression

Q: 3(cos a- 1) sin x cos – sin x O 3 cotx+3 csc x O 3 tanx+3 csc x O 3 tan x +3 sec x O 3 cot x +3 sec…

A: Here we have to find the value of    3(cos2x -1)/(sin x cos x - sin x)

Q: sin'x+ cos x sinx 3 ,2. tan x sec x = 2 cos"x

A: use simple trigonometric relations to prove it.

Q: cosx sin'x = 3.. 3. cos°x sin°x= 5. = (sin°x- sin°x)cosx

A:

Q: COS X 3) sec x + tan x = 1 - sin x

A:

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

A: sin xcos x +1+cos x -1sinx=0

Q: sin x – x cos x lim x→0 x – sin x

A:

Q: sin(x + /4)= sin(x) + Cos(x

A:

Q: Verify the identity.

A: Solve the RHS by substituting x=sin θ. Use the identity 1-sin2 θ=cos2 θ. RHS=tan-1x1-x2=tan-1sin…

Q: Use identities to simplify each expression.

A: cosxsin2x+cos3xsecx=cosxsin2xsecx+cos3xsecx=cos2xsin2x+cos4x…

Q: sec2 x + (sec x) (tan x) 1-sin x

A: Consider the identity  sec2x+secxtanx=11−sinx

Q: Verify the identity:

A:

Q: sin x- cos x sin xcosx- cos x .2 CoS

A: To simplify

Q: lim 2 sin(-2 x) 0.3) 4 sin (5 x)

A:

Q: secx - I 10.) sin*x = 11.) 1- CSC X =- 2tan x sec x %3D sec?x I+ CsC X

A:

Q: Verify the identity:

A: Verify the identity:        secxcotx+tanx=sinx

Q: Sin x/cos x+cos x /sin x

A: Sin x/cos x+cos x /sin x

Q: sin x 1+cos x 1-cos x sin x

A: Let's prove that given trigonometric formula.

Q: (sin x + cos x) sin'x- cosx sin'x- cos'x cos-r COS X (sin x – cos x)2

A:

Q: Cos(x) 一+Sin (x) sec (x} I +sin (x) Cos(x)

A:

Q: Sin² x-sin x-2=0

A:

Q: cos² x 3D1-tan x cos x 1+ sin x

A:

Q: Using identities Use the identity sin 2x = 2 sin x cos x to findd/dx(sin 2x). Then use the identity…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: (sec'x - 1) cscx -1) sec x CSCX = tan x CSCX Algebra sin x Reciprocal %3D CScx cos x sin x 1 %3D…

A: Given that:-      sec2x-1cosecx⇒tan2x.cosecx       by pythagorean identity 1+tan2x…

Q: sin 0 What is the value of lim 0→0 0 if 0 is measured in degrees?

A: Given,          limθ→0sinθθ

Q: Prove that

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

Q: 2 sec² x – 2 tan² x = sin 2x sec x b) sin (- x) cot ( + x) = – sin x a) CSC X

A: We will use  secx=1cosx,tanx=sinxcosx and  sin(π2-x)=cosx,cot(π2+x)=-tanx

Q: ´sin x-sin x cos x lim x2

A: This can be evaluated as follows:

Q: sin 2x + sin x + cos 2x - 1 = _______ cos x cot x tan x sin x

A: Solution ) sin2x + sin x + cos2 x - 1  = sin2 x + cos2 x + sin x - 1 We know that  [ sin2 x + cos2 x…

Q: sin(-x)+ cos(-x) = − sin x + cos x

A:

Q: sin x + 1+ COS X 1+ cOS X = 2 csc X sin x

A: Given,          1+cosxsinx+sinx1+cosx=2cscx

Q: Use the definition of the derivativeand the trigonometric identity

A: Given function is fx=cosx

Q: (sin(x) + cos(x))² = 1 + 2 sin(x) cos(x)

A: Topic-trigonometry 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) 3) 1-sin(x) sec(x) + tan(x)

A:

Q: cOs x sin x tan x (7) = sin x+ cos x 1- tan x tan x-1

A:

Q: sin x 15. у 3D cot x 17. у 3 16. у 3D' secx -4cse x cot x

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

Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: sin 3x-sin x 5. cos 3x+cosx tan x

A: Definition used -…

Q: sin 0 lim 0 →n/2 In sin 0

A: It is given to Answer only the third Question :

Q: 2 tan x sin 2x 1+ tan? x

A: To prove:- 2tanx1+tan2x=sin2x

Q: sin x + 2 sin x +1 1+ sin x cos COS X 1 Sin X

A: We have to verify: sin2 x+2 sin x+1cos2 x=1+sin x1-sin x

Q: sin x 25) lim x→0 5x 3(1 – cos x) 26) lim sin x (1 – cos x) 27) lim 2x2

A: