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kondaur [170]
3 years ago
10

How to find the unknown length of right triangle

Mathematics
1 answer:
agasfer [191]3 years ago
7 0
If it is a right triangle than one angle is 90 degrees, so the other two angles(plus the 90 degrees)must add up to 180 degrees. 
Hope this helps! :3
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Prove each of these identities.
Virty [35]
<h3><u>Answer</u><u>:</u></h3>

<u>➲</u><u> </u><u>(</u><u> </u><u>1</u><u> </u><u>+</u><u> </u><u>sec </u><u>x </u><u>)</u><u>(</u><u> </u><u>cosec </u><u>x </u><u>-</u><u> </u><u>cot </u><u>x </u><u>)</u><u> </u><u>=</u><u> </u><u>tan </u><u>x</u>

  • <em>Solving</em><em> </em><em>for </em><em>L.H.S</em>

\implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }

\implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}

\implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}

\implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}

\implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}

\implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}

\implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }

\implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }

<u>➲</u><u> </u><u>(</u><u> </u><u>1</u><u>+</u><u> </u><u>sec </u><u>x </u><u>)</u><u>(</u><u> </u><u>1</u><u>-</u><u> </u><u>cos </u><u>x </u><u>)</u><u> </u><u>=</u><u> </u><u>sin </u><u>x.</u><u> </u><u>tan </u><u>x</u>

  • <em>Solving </em><em>for </em><em>L.H.S</em>

\implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}

\implies\quad \sf{\left(1+\dfrac{1}{cos\:x} \right) \left( 1-cos\:x\right)}

\implies\quad \sf{ \left(\dfrac{cos\:x+1}{cos\:x} \right)(1-cos \:x)}

\implies\quad \sf{\dfrac{1-cos^2 x}{cos\:x} }

\implies\quad \sf{\dfrac{sin^2x}{cos\:x} }

\implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }

\implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }

7 0
3 years ago
I need so.e help with this​
Flauer [41]

Answer:

(3,7) is not a solution

Step-by-step explanation:

You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.

-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23

no need to look further, but if you would, the second equation is also false:

3 + 4·7 = -19 is also not true.

The real solution by the way is (-3, -4).

3 0
3 years ago
If point P is 3/7 the distance from A to B, then it is ____ the distance from B to A.
IrinaVladis [17]

The answer is 4/7, because if A to P is 3/7 of the way, going to B would be to the end. So, you have to go 4/7 of the way to get to the end.

5 0
4 years ago
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A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car do
alukav5142 [94]

Answer:

0 sec. I help him get the tourist too :)

Step-by-step explanation:

jk, but her cub takes 13 and the mama 4

6 0
3 years ago
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Select all the equivalent to a^2/a^9 assume a doesnt equal 0
Alenkinab [10]
a ^ 2 / a ^ 9
 For this case what you should do is use the power properties to write the expression in different ways.
 Three different ways to write the expression are:
 Way 1:
 a ^ 2 / a ^ 9 = a ^ (2-9) = a ^ (- 7) = 1 / a ^ 7
 1 / a ^ 7
 Way 2:
 a ^ 2 / a ^ 9 = a ^ (2-9) = a ^ (- 7)
 a ^ (- 7)
 Way 3:
 a ^ 2 / a ^ 9 = a ^ 2 * a ^ (- 9)
 a ^ 2 * a ^ (- 9)
 Answer:
 
all the equivalent to a ^ 2 / a ^ 9 are:
 
1 / a ^ 7
 
a ^ (- 7)
 
a ^ 2 * a ^ (- 9)
6 0
3 years ago
Read 2 more answers
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