cos 0 sec 0 = 1

Q: An equivalent exp a) cos² (0) COS O b) cot? (0)

A: We have to find the equivalent expression for   cos2(θ)( 1 + cot2(θ) ) from the following options :…

Q: Find the exact value

A: To evaluate cos (67.5 degrees) exactly (without calculator or tables)

Q: State the quadrant in which 0 lies. sin(0) < 0, cos(0) < 0 COS O II OIV

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

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

A:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) tan(2u) II…

A:

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B)

A:

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.

Q: Use the addition formulas to derive the identities cos (A - B) = cos A cos B + sin A sin B

A:

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

A:

Q: Complete the double-angle identity. cos 20 = X

A:

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

A:

Q: Evaluate the expression by sketching a triangle: 1 tan(co COS (300)) 1 =

A: Given.

Q: (a) Use Addition formula to find the exact value of cos (a + B), (a in quadrant III) 3 if tan a = -…

A: Given a) tanα=23, cscβ=53, where α is in III quadrant and β is in quadrant II.

Q: Use the formula for the cosine of the difference of two angles to verify the identity.

A: To prove: cosx-5π4=-22cosx+sinx

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: cos cos² sec

A: Consider the given trigonometric ratios for angle x in radians. Use the trigonometric ratio for sec…

Q: Use Addition formula to find the exact value of cos (a + B). if tan a= 3 (a in quadrant I) and csc…

A: Use the identity cosα+β=cosαcosβ-sinαsinβ Use tan2x+1=sec2x to find cosine function. Use…

Q: Use the appropriate reciprocal identity to find the exact value of sec θ for the given value of cos…

A:

Q: Use the addition formulas to derive the identity. 25) COS sin x 25) %3D

A:

Q: Use the fundamental identities to simplify the expression. (sin0+cos®)² 1+2sin0cos® Select one: O a.…

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: Find the quotient, and write it in rectangular form. 12( cos 470° + i sin 470°) 3( cos 110° + i sin…

A:

Q: Find, the value Cos 20, when: * .cose = 12/13

A: The cosine angle in a right  triangle is ratio of base to the hypotenuse. cosθ=BaseHypotenuse From…

Q: Use an addition or subtraction formula to find the exact value of cos(−π12)=√A(√B+1)4. A= B=

A:

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

A: Verify the following: cos2θsec2θ-1=sin2θ

Q: Use an identity to find the exact value of the following expressions. a. tan(5 + b. cos(15°)

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: (1+sin?)(1-sin?) + 5 = cos2? + 5

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

Q: Find the exact value of cos A in simplest radical form. 25 7 A 24

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

A: To verify the equation, cos θ(tan θ+ cot θ)=csc θ,  simplifying the left-hand side expression, cos…

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

A:

Q: Verify that the equation is an identity. cos (a-B) = tan a+ cot B cos a sin B

A:

Q: What is the value of cos B? B

A: cos B=adjecent to ∠BHypotenusecos B=BCAB

Q: Use Identities to find the exact value. 19) cos 165°

A: cos(A+B)=cos(A) cos(B)-sin(A)sin(B)

Q: cos s e + cscOsind| 2. sin²e

A: To simplify cos2θsin2θ+cscθsinθ

Q: Write the formulas for cos(A - B) and sin (A - B)?

A: We have to write the formulas for cosA-B and sinA-B. We know the formula for cosine difference angle…

Q: Use an addition or subtraction formula to find the exact value of cos 15° = VA(VB+1), and fill in…

A: SOLUTION-

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: Verify the identity. tan A+cot A/sec A csc A ≡ 1

A:

Q: Evaluate the given: So sin" () cosº () dz cos 10

A:

Q: Evaluate the expression without using a calculator. cos T 6 6 sin TT

A: From unit circle cos(pi/6)= sqrt(3)/2 sin(pi/6)=1/2

Q: (a) 10 cos 100t + 3

A:

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

A:

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

A: Given: Verify the identity by transforming the lefthand side into the right-hand side. We know that…

Q: Verify the following trigonometric identity:cos4t−cos2t= sin4t−sin2t

A: The trigonometric identities can be verified by solving the left hand side and right hand side…

Q: Find the exact value

A: Given information:The given expression is .

Q: Verify the identity. sin B + cos B cot B = CSc B %3D

A: Given,           sinB+cosBcotB=cscB

Q: Find the right part of the identity. secβ-cosβ=

A: Given,  secβ-cosβ   We have to find the right part of the identity.

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.