sin e and 0 is not in QIII 2 cos e = tan e cot e = sec e CSc II II II II

Q: sin 20 + cos 20 = cot x tan x

A: Prove this using a right angled triangle and the pythagorean identity.

Q: sin cos tan !! 3D

A:

Q: Prove that (csc(x)) = -csc(x) cot(x). 1 d -(csc(x)) dx sin?(x) sin?(x) 1 sin(x) sin(x) = -csc(x)…

A:

Q: Establish each identity.

A:

Q: sec 0 tan 0 Establish the identity = sin 0 1+ tan? 0

A:

Q: 8. and tan 0 < 0 17 8. sin 0 csc e = cot 0 =

A: We are authorized to answer one question at time since you have not mentioned which question you are…

Q: sin t According to the quotient identities, cos t cos t and sin t

A: Solution: Let a right triangle ABC with angle t = θ Therefore sin θ = BCACcos θ = ABAC Now,…

Q: Verify the identity. tan(0) sin(0) + cos(0) = sec(0) tan(0) sin(0) + cos(0) sin(0) + cos(0) cos(0)…

A: (1)tan(θ)sin(θ)+cos(θ)=sec(θ)tan(θ)sin(θ)+cos(θ)=sin(θ)cos(θ)·sin(θ)+cos(θ)…

Q: tan + 1 tan ( = 1 sin cos 0 tan o = sin + sin²0 (cos ) (1 + sin o)

A:

Q: tan e = 4 and 0 terminates in QIII 3 sin 0 Cos e = Csc e sec e cot 0

A:

Q: sin Icos 15° csc 35° tan 4 sec 3 cot 85" : tan 5" : sec55" : CoS 3 :: Csc :: sin 75" cot ::

A:

Q: Establish each identity.

A: Given: The statement secθ-cosθ=sinθtanθ, To find: The given identity.

Q: Cos e sin 0 sin 0 + cos 60 (1 - tan 0) (1- cot 0)

A: cosθ1-tanθ+sinθ1-cotθ=cosθ1-sinθcosθ+sinθ1-cosθsinθ=cos2θcosθ-sinθ+sin2θsinθ-cosθ=cos2θcosθ-sinθ-sin…

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: /tan x sin x cos x

A: given = ∫tan (x)sin (x) .cos(x)dx

Q: establish each identity.

A: We have to prove the given identity: sec θcosec θ+sin θcos θ=2 tan θ We know the relation between…

Q: tan : sin z :: cot : cos r cos/ sin O 1/tan O cos csc csc / sec

A:

Q: sin 0 cos 0 tan e sec 0 csc e cot 0 O in QI e in QII O in QIII O in QIV

A: To find the value of θ either positive or negative.

Q: . sec 0 = sin 0(tan 0 + cot 0)

A: Given expression: sinθtanθ+cotθ=secθ We know that  tanθ=sinθcosθ and cotθ=cosθsinθ

Q: sec 0 – cos 0 = sin 0 tan 0

A:

Q: Verify the identity.

A: To prove - cotx2 = 1+cosxsinxConsidering R.H.S - R.H.S = 1+cosxsinxR.H.S = 2cos2x22sinx2cosx2…

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: 4 sin e = cos 0 = tan 6 = csc e sec e cot 0 = 3.

A: The values are:

Q: csc 0 – cot 0 3. secu+tanu 5. secu – tanu (sinu+1)² = cot e 4. cot 0 + tan 0 = csc 0 sec 0 sec 0 – 1…

A: Topic-Trigonometry

Q: • sin 0 r cos 0 dr do.

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: sin 0 cos e tan e

A: We have given that angle θ is in standard position and terminal side of θ intersect the unit circle…

Q: 16. (tan 0+cot@y = sec 0+ csc? 0 tant

A:

Q: Evaluate the integral.

A:

Q: sin 0 = Csc e = cos e = sec 0 = tan 0 = cot 0 =

A:

Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

A:

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

A:

Q: A + sin x If (tan x + sec x)? then B – sin x A = B =

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: sin x = CsC X Prove the identity: cot x + 1+cos x

A: We have to prove given identity.

Q: sin O csc 0 = cot 0 %3D tan e

A:

Q: sin²0 + tan²0 + cos²0 Otan ²0 cos ³0 sin 0 sec²0 ty the e

A:

Q: sec 0 — сos cos O sin 0 sec 0 + cos 0 1 + cos? 0

A: To prove that,             secθ-cosθsecθ+cosθ=sin2θ1+cos2θ

Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

A:

Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below

Q: (1+sin@)(1-sine) cot e 2

A: We use Trigonometry identities

Q: sin? x cos? x rove that 1 = sin x cosX 1+cotx 1+tanx

A: We have to proof

Q: sin: tan cos :: cot :

A:

Q: (표) + sin (포). Give the exact value of COS O1 V3 V2 O 1+v3

A: We can make it easier for you.

Q: Fill in each blank so that the resulting statement is true.

A: DeMoivre's formula s used to solve the problems in which a complex number is raised to some power. A…

Q: 1+sin A cos 2 sec u – cos µ = sin µ tan µ 4. + 2 sec 1 %3D cos A 1+sin A

A: We have to verify the given identities.

Q: determine sin θ, cos θ, tan θ, sec θ, cosec θ, cot θ?

A: Apply Pythagoras theorem in triangle OCD and calculate the radius (r),

Q: tan x- cotx + 2 cos? x = 1 tan x + cotx

A: tanθ =sinθcosθ cotθ=cosθsinθ sin2θ+cos2θ=1

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.