2 Find the cos(20) if tan9-_ where 180% θ <270

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Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

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Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

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Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

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Q: 4. Find the exact value of sin if cose 2 3 and e is in QIII. cose =-- |

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in quadrant II. 17

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Q: Use Simpson's rule with n = 4 to approximate /" cos(2) -dr

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Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

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A: Simplify cos(180-x),

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx = 17 and x terminates in quadrant I.

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A: The given problem is solved below details.

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Q: Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IV. sin 2x cos 2x %3D tan 2x

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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.