cot (-x) cos x = csc (-x)

Q: Complete the identity. sin 2x ? 1- cos 2x sin? x cot x cos? x tan x

A:

Q: Use Identities to find the exact value. 5) cos (285°)

A:

Q: Verify that the following expression is an identity by simplifying one side of the equation to equal…

A: Given, cotx+tanx=secxcscx

Q: Simplify the first trigonometric expression by writing the simplified form in terms of the second…

A:

Q: Find the exact value of cos

A:

Q: Use the appropriate triangle or trigonometric identity to rewrite the following as an algebraic…

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: 2) Use the fundamental identities to simplify the expression: (1 – cos? x)(csc x).

A:

Q: Verify the identity cos x csc x = cot x.

A: We have to verify cosx cscx=cotx We know that cscx=1sinx. Now, LHS=cosx…

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

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: cos e cot 0 + sin 0 Csc e

A:

Q: Find the algebraic expression in x of: cot (cos" (-)) –

A:

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

A:

Q: Use the fundamental identity to write two functions for cos a in terms of sin a. Indicate which…

A: The fundamental trigonometric identities can be listed as follows. Pythagorean Identity Reciprocal…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the identity: tanθ cotθ=1. Proof: Method-1 We know that, tanθ=sinθcosθ and cotθ=cosθsinθ…

Q: Evaluate cos[toi an 3.

A:

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

A:

Q: Establish the identity. sin (a + B) = tan a + tan B cos a cos

A:

Q: Verify that each equation is an identity.  (1-cos x / 1+cos x) = (cot x - csc x)^2

A: Multiply by (1-cosx) in numerator and denominator. Note: 1-cos^x=sin^2 x [Pythagorean identity]

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) csc(x)

A:

Q: 3) Use the addition or subtraction formula to find the exact value of the expression cos

A:

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

A:

Q: Determine whether the equation is an identity. If it is an identity, prove it. ((cot^2)x) / (csc x -…

A: Given,

Q: Verify the identity sin (a B) = tan a cot ß - 1 cos a sin B

A: To verify the provided trigonometric identity which is show below,

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Verify the following: cos2θsec2θ-1=sin2θ

Q: Use the addition formula to derive the identities. (a) cos(x – ;) = sin x (b) sin(x – 5) COS x kIN…

A: Addition formula are as follows: sin(A + B) = sin A cos B + cos A sin B sin(A − B) = sin A cos B −…

Q: Complete the identity using the triangle method (a) cos(tan^−1(x)) = (b) sin(sec^−1(x))= a)=…

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We know the standard identity: sin2A + cos2A = 1   To show: sinθ/2cscθ/2 + cosθ/2secθ/2  =  1

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

A: To verify the identity sinxcotx=cosx.

Q: Prove the following identity : sin (x) + cos (x) cot (x) = csc (x)

A: Before solving remember the following relations:

Q: Use the fundamental identities and appropriate algebraic operations to simplify the expression. cos…

A: We have to find the expression

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) sec(x)

A: Given:

Q: Find the exact value of cos.

A:

Q: Use the fundamental identities to simplify the expression. cos 0 - cos e sin? e

A:

Q: cos s e + cscOsind| 2. sin²e

A: To simplify cos2θsin2θ+cscθsinθ

Q: Find the value of the cos I

A: Given,

Q: Evaluate the exact value of x²-16 tan cos

A:

Q: Use the fundamental identities to fully simplify the expression. cot(x) cos(x) + csc(x) sin²(x) In…

A: Please see the answer below.

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the exact value of Csc COS

A:

Q: Evaluate the expression under the given conditions. tan(20); cos(0) = 0 in

A: Given  cos(θ)=35, θ in Quadrant I. We have to find the value of  tan(2θ).

Q: Use the appropriate identity to find the exact value of the expression. 11T Cos 12

A:

Q: Complete the identity. sin(@)=

A: Trigonometry identity

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

A: Given: sin(x) cot(x)= cos (x)

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

A:

Q: Evaluate the exact value of x²– 16 tan cos

A:

Q: Determine whether the equation is an identity. If it is an identity, prove it.   (sin x)/(1 - cos x)…

A: Given,

Q: Find the exact value of the expression. csc( cos

A:

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

A:

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.