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4 years ago

What is 270° converted to radians? StartFraction pi Over 6 EndFraction Three-halves StartFraction 3 pi Over 2 EndFraction 3

Mathematics

2 answers:

jeka57 [31]4 years ago

8 0

Answer:

3pi/2

Step-by-step explanation:

yessir

Bumek [7]4 years ago

4 0

Answer:

C. 3pi/2

Step-by-step explanation:

took the test

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Step 1: Make an expression

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Step 2: Round

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$100$

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3 years ago

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Which algebraic expression represents "the bagels were divided equally into fifteen bags"? 15 + b 157b StartFraction 15 Over b E

maria [59]

Answer: (d)- $\dfrac{b}{15}$

Step-by-step explanation:

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3 years ago

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What is the solution of the system of linear equations?

Monica [59]

-3x+4y=-18
2x-y=7
the answer qould be C.(2,-3)
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C.

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3 years ago

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10 points!!! please help :(

daser333 [38]

To complete the identity, we need these fundamental identities:

$1)\displaystyle{sec(x)=\frac{1}{cos(x)}$

$2) cos(x-y)=cos(x)cos(y)+sin(x)sin(y)$

$\displaystyle{csc(x)= \frac{1}{sin(x)}$

Thus, by identity 1 we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}$

by identity :

$\displaystyle{cos(\frac{ \pi }{2}-\theta)=cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)$

recall the values :

$\displaystyle{ sin(\frac{ \pi }{2})^R=sin(90^o)=1\\\\$

$\displaystyle{ cos(\frac{ \pi }{2})^R=cos(90^o)=0$ ,

so:

$cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)=0+sin(\theta)=sin(\theta)$

Putting all these together, we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}= \frac{1}{cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)}= \frac{1}{sin(\theta)}}$

which is equal to $csc(\theta)$ , by identity 3

Answer: D

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4 years ago