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3 years ago

If sin ⁡x=−1/2, and 270° * If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

Answer:

For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)

Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as .

An important property of reciprocals is that if you mutliply them together they will cancel out--take for example.

Since secӨ is literally defined as the reciprocal of cosӨ, it is evident that

Read more on Brainly.com - brainly.com/question/505406#readmore

Step-by-step explanation:

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15 million

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2 years ago

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Kazeer [188]

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Huan receives 3.33 pounds (£) every week

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8 ÷ 4/5 = 10

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2 years ago

A total of 1 232 students have taken a course in Spanish, 879 have taken a course in French, and 114 have taken a course in Russ

ElenaW [278]

Answer:

$n(S\cap F \cap R)=7$

Step-by-step explanation:

The Universal Set, n(U)=2092

$n(S)=1232\\n(F)=879\\n(R)=114$

$n(S\cap R)=23\\n(S\cap F)=103\\n(F\cap R)=14$

Let the number who take all three subjects, $n(S\cap F \cap R)=x$

Note that in the Venn Diagram, we have subtracted $n(S\cap F \cap R)=x$ from each of the intersection of two sets.

The next step is to determine the number of students who study only each of the courses.

$n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x$

These values are substituted in the second Venn diagram

Adding up all the values

2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]

2092=2085+x

x=2092-2085

x=7

The number of students who have taken courses in all three subjects, $n(S\cap F \cap R)=7$

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3 years ago