sin(z) + cos(x) The expression simplifies to cot(z) + cot (x) O sin(z) - tan(z) O cos(z) O sin(a) O cot(z) cos(z) 01 O sin(a) cos(z)

Q: (sin 0- cos 0)(sin 0- cos 0) – 1 sin 0 cos 0 (Use integers or fractions for any numl

A:

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

A: We can solve as follows

Q: Verify the identity:

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

Q: sin x COS cosx tan x cot x sin X COS X %3D

A: To verify the identity:-

Q: •sin ² (x/2) = = (tan x sin x)/ 2tan x = sin ² (x/2) •tan x - cot x = - 2cot 2x •sin ² (x/2) = (sin…

A: 3) sin2x2=sinx tanx22=sin2x2 4) sin2x=2cos2(x/2)1-cosx=sin2x 5) 2sinx-sin2x/(2sinx+sin2x)=tan2x/2

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: sin x 2. Find f'(x) if f(x) = 1 - cos x %3D 1 3. Simplify your result in (2) to show that f'(x) %3D…

A:

Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 01

A:

Q: sin x(cos x-1) 8. Prove sin(n -x) – tan(t + x) | COSX

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: Verify the identity:

A:

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

A: To simplify

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

A: We can solve it as below.

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

A:

Q: sin x 1+cosx 2csc x= 1+cos x sinx

A:

Q: sin x 1+ cosx 1+ cosx + sin x 2cscx 2secx 01

A:

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: 2 sinθ - sinθ - 1 = 0, 0<θ<2π

A: 2 sinθ - sinθ - 1 = 0 sinθ = 1 θ  =90°

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A:

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: The given identity is

Q: Verify the following identity:

A: We have to prove the following trigonometric identity: sin4x2-cos4x2sin4x2cos4x2=-16cos xsin4 x

Q: V1+ cos x + v1- cos x X =-+-,0<x<. 4 2 an 1+ cos x - V1- cos x - cOS X VI

A:

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 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: lim sin (2 – 2) cot² (x² – x – 2)

A: We have to find

Q: sin 3x-sin x Prove tan x. cos 3x+cos x

A:

Q: tan(x) - cot(x) = sec(x)(2 sin(x) – csc(x)) %3D tan(x) – cot(x) sin(x) cos(x) %3D cos(x) sin(x)…

A: We can use the trigonometric identities, sin2x=1-cos2x,  cos2x=1-sin2x tan x=sin xcos x, cot x=cos…

Q: sin-'x - cos-1x = " Find the value of x

A: Given that sin-1 (x)-cos-1 (x)=π6, Our Aim is to find the value of x=?

Q: cos x sin x cos 3x sec 2x csc 2x

A: We have to verify the trigonometric identity cos xsec 2x - sin xcsc 2x = cos 3x

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: cos(x (*). cos(x + h) – cos x cos h – 1 sin h - - sin x · h COS x h h

A: Require to verify the identity cosx+h-cosxh=cosxcosh-1h-sinxsinhh

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

A:

Q: How do I subtract (sinϴ-1)/(cosϴ) - (cosϴ)/(sinϴ-1). Show work

A: We have given expression to subtract  Let, y=sinθ-1cosθ-cosθsinθ-1 y=sinθ-12-cos2θcosθsinθ-1 Using…

Q: sin'x + cos'x 75. sin x + cos x 1- sin x cos x

A: We need to show that sin3x+cos3xsinx+cosx=1-sinx·cosx We will take Left Hand side and obtain the…

Q: cos'x - tanx 5. prove it cot'x - sec'x sin'x 1+ sec x 6. sin'x sec x 1- cos x cosx 7. 1- sin x cos x…

A:

Q: Verify the identity algebraically. 3 cos(x) 1 - tan(x) 3 cos(x) - 3 cos(x) - 3 cos(x) 1 - tan(x) = =…

A:

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

A: Definition used -…

Q: sin(3x)-sin x - cot(2x)= cos(3x) - cos x

A:

Q: cosx/1+sinx - 1-sinx/cosx = 0

A:

Q: sin x cos x 1 1. - sin – sin x 2 sinx cosx 3 cosx -1

A: The solution is given as

Q: sin 0 lim 0 →n/2 In sin 0

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

Q: INTEGRAL OF TRIGONOMETRIC FUNCTION Put your clear solution ∫sin⁡8x cos15x dx Choices: A.) -1/23…

A: To find:- ∫sin⁡(8x) cos(15x) dx Method :- We use C-D trigonometry formula to solve the given…

Q: sin x-cos x 1. tan x csc x-secx cot x sin x cos X 1 1 2 2. cscx-cotx cscx+cotx tan x 3. cos4x - sin4…

A: 1. sin x-cos xtan x csc x-sec x cot x=sin x cos x2. 1csc x-cot x-1csc x+cot x=2tan x3.…

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

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.