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Flura [38]
3 years ago
9

PLEASE ANSWER ASAP FOR BRAINLIEST

Mathematics
2 answers:
Damm [24]3 years ago
5 0
I feel like I’ve seen this before buts it’s D.
natulia [17]3 years ago
3 0
I simplified it it's d
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 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

\sin^2 x+\cos^2 x=1

(-\dfrac{15}{17})^2+\cos^2 x=1

\cos^2 x=1-\dfrac{225}{289}

\cos x=\pm\sqrt{\dfrac{289-225}{289}}

x lies in the III quadrant. So,

\cos x=-\sqrt{\dfrac{64}{289}}

\cos x=-\dfrac{8}{17}

Now,

\sin 2x=2\sin x\cos x

\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

\sin 2x=-\dfrac{240}{289}

And,

\cos 2x=1-2\sin^2x

\cos 2x=1-2(-\dfrac{15}{17})^2

\cos 2x=1-2(\dfrac{225}{289})

\cos 2x=\dfrac{289-450}{289}

\cos 2x=-\dfrac{161}{289}

We know that,

\tan 2x=\dfrac{\sin 2x}{\cos 2x}

\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}

\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

7 0
3 years ago
Which equation represents the line whose slope is 1/2 and whose y-intercept is 5
expeople1 [14]

Answer:

y=1/2x+5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If two straight lines intersect and one angle is 30 degrees what are the other three angles
mel-nik [20]
Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)

oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other

angles are
150,30,150
3 0
3 years ago
Read 2 more answers
Which table shows a proportional relationship between x and y? please help and answer quick plz
gavmur [86]
The answer is c. 

(a)

x * 2 = y
2 * 2 = 4 
3 * 2 = 6
4 * 2 = 8 not 9

(b)

unknown formula

(c)

x * 3 = y
4 * 3 = 12 
5 * 3 = 15
6 * 3 = 18

(d)

x * 4
1 * 4 = 4
2 * 4 = 8
3 * 3 = 9 not 15
3 0
3 years ago
Ramon correctly answered 80% of the questions on his math test. Which of the following does NOT represent the part of the questi
puteri [66]
20%

100%(total points possibly given)
- 80% (points received)
equals 20%
8 0
3 years ago
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