1 tan (-x) sin (–x) cos x = (-x) cos

Q: Which expression is equal to + tan x using identities? tan x 1. sin x COS sin r cos e O sin z cos

A:

Q: Find the identical expression for the following. cos x 1+ sin x 1+sin x cos x 2sec x O 2csc x 2cscx…

A: To solve the following trigonometric identity.

Q: Verify the identity. sin x + cos³ x =1 - sin x cos x sin x + cos x Factor the numerator, and use a…

A: According to the given information it is required to verify the identity:…

Q: snip

A: The given identity sinθcosϕ2+sinθsinϕ2+cos2θ=1

Q: Prove the identity: sin? x + cos² x = 1, using the Mean Value Theorem.

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Q: find sin A, cos A, and tan A.

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Q: Prove the given identity: 1- cos?x = sinxcosx tanx

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Q: Prove the identity. S.4.1 1-Sin 2A Sin A- Cos A Sin A - Cos A

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Q: Verify the identity: sin4 t - cos4 t = 1 - 2 cos2 t

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Q: 2. Prove the following identities. Show each step and use correct mathematical notation. a, sin (x-)…

A: Use the identity  sin(x+y)= sinx siny + cosx cosy sin(x-y)= sinx siny - cosx cosy

Q: sin? x – cos? x 1. tan x – cot x = sin x cos x

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Q: a fe) = Vsec?x-1 cos(, x)

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Q: Prove the identity sin x cos²x+ sin?x algebraically and CSC X determine the non-permissible values…

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Q: Prove the following identity. (sin x - cos x) = 1 - sin 2x We begin by expanding the left side of…

A: Use (a-b)^2= a^2 -2ab+ b^2 formula to expand it. With a=sin x and b=cos x

Q: Substitute the expressions for u and for du to write tan(5x + 8)dx in terms of u. tan(5x + 8)dx = |…

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Q: Analyze the following identities. a) cos¹0 - sin¹0 = cos 20 COS b) (sin x + cos x)² = 1 + sin 2x

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Q: sin² e – cos e tan 0- cot e = sin e cos e

A: A) sin2θ-cos2θsin θ cosθ=sin2θsin θ cosθ-cos2θsin θ cosθ=sin θ cosθ-cos θsin θ =tan θ- cot θ

Q: In a brief, substansive, grammatically correct statement, describe the first step you are inclined…

A: In a brief, substansive, grammatically correct statement, describe the first step you are inclined…

Q: Prove the following identities and show complete solution 1– tan x = (2 tan x – sec?x)(tan x – 1)

A: To prove: The identity 1-tan3x=2 tanx-sec2xtanx-1 Formula used: Algebraic identity:…

Q: 55. Verify the following identity and use it to give another proof of the formula (sin x)' = cos x:…

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Q: Prove the following identity, showing all steps clearly. cos x + tanxsinx = sec x

A: Prove the following identity: cos x + tanx·sinx = sec x

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

A: Here we solve this by taking first the lcm

Q: Expand and simplify the following sin(x+3π/2)+cos(x+3π/2)

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

A: To prove:

Q: Verify the following identity. -2 tan e sin 20 = 2. 1+ tan 0

A: Here I am attaching image so that you understand each and every step.

Q: 18. Which expression is equal to + tan x using identities? tan r 1 sin z cos x sin x cos x sin a Cos…

A: Which expression is equal to??

Q: Prove the following identity. (sin x – cos x)2 = 1 - sin 2x We begin by expanding the left side of…

A: Given : sinx - cosx2 = 1 - sin2x

Q: Evaluate or simplify the given expression. sin(2 tan -1 3x) 3x O 9x2+1 6x O 9x² + 1 3x O 9x2 + 1 6x

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Q: Verify the identity. cos² t sin t -=cos tcot t

A: We have to Verify the given  identity cos2tsint=cost cott

Q: Prove that the following identity is true. 1 1 = 2 csc? x 1 + cos X 1- cos X We begin on the left…

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Q: Prove the identity on a separate sheet of paper. tan 6+ sin e cos 2 tan e

A: In this question we have to prove the following identity.

Q: Help me prove the identity

A: Recall sin2x + cos2x = 1 Hence, 1 - sin2x = cos2x LHS = 1 / (1 - sin2x) = 1/cos2x

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: dx 4. Evaluate cos? ' x (tan x + 1)

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Q: Find the identical expression for the following. cos(x+ )+ cos(x- O cos x O - cos x O - sin x 00 O…

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Q: 5. Verify the following identity. (sin? x) 1+secx sec x 1-cos x

A: We have to verify  the identity.

Q: IDENTIFY THE FOLLOWING IDENTITIES 1. sin(-x) = -sin x 2. cos(-x)= cos x cos x %3D 3. sin x + = 1

A: 1. Sin(-x) = Sin(x) 2. Cos(-x) = Cos(x)  3. Sin2x + Cos2x = 1 Repost the 4,5,6,7,8,9,10 and 11 .

Q: Establish the following identity: tan?x – sin?x = tan?x · sin?x

A: Explanation of the answer is as follows

Q: 1 12. Which expression is equal to + tan z using identities? tan z sin a cos a cos a 1 sin a cos e…

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Q: Which of these is a trig identity? sin x + cos x = 1 1/sin x = sec x sin(2x) = 2 sin x COS x tan x =…

A: Solution:From the following To find which of these is a trignometric identityFormula:tan x=sin xcos…

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

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Q: Prove the following identity sin? (x) + cos (x) + sin(2x) – 2 sin(x)cos(x) = 1

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Q: 12. Verify the following trigonometric identities. tan (x) sin (2x) = 2 – 2 cos (x)

A: To verify the identity: tan(x)sin(2x)=2-2cos2(x) Solution: We know, tan(θ)=sin(θ)cos(θ)…

Q: Evaluate the following 2 sin (x) -dx 1+ cos (x)

A: I = ∫0π/2sin(x)1+cos(x)dxI = ?

Q: Exer. 51–74: Verify the identity by transforming the left- hand side into the right-hand side. 57 (1…

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Q: 1- sin(x)cos(x) sec(x) – sin(x): cos(x)

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Q: Perform the addition and use the fundamental identities to simplify. There is more than one correct…

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.