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BARSIC [14]
2 years ago
12

1Prove that1: sin/1-cot + cos/1-tan=cos+sin​

Mathematics
1 answer:
Anit [1.1K]2 years ago
4 0

Answer:

have:

\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2}  }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos

Step-by-step explanation:

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URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!
iren [92.7K]

Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the  base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD  and ACD  where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD  ( the common side)

AD = DC ( because BD is the median).

AB =  AC ( because ABC is  an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore  m < ABD = m <  CBD,  so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.

Therefore angles ABD and CBD are both  right angles and BD is the altitude of triangle ABC.

8 0
3 years ago
Help help help help what is the answer −5(4x−3)−x+5=190!!!
artcher [175]
X=8.5
190-5=185
185/-5=-37
-37-3=-34
34/4=8.5

8 0
3 years ago
Use a calculator or a square root table to approximate to the nearest thousandth
Vadim26 [7]

Answer:

- 13.077

Step-by-step explanation:

Here we have to calculate the square root of a certain number using the help of the calculator or a square root table.

The given expression is - \sqrt{ 171 }.

Now, using calculator \sqrt{ 171 } = 13.076696

Now,  - \sqrt{ 171 } = - 13.076696

So, approximate value to the nearest thousandth is - 13.077 ( Answer )

4 0
2 years ago
An organic farmer buys a piece of land seed plants tomatoes on 5/9 of the land and green beans on 1/12 of the of the land she pl
tino4ka555 [31]
Find how much is reamaining
remaining=1-used
used=tomatoes+beens
used=5/9+1/12

5/9 times 12/12=60/108
1/12 times 9/9=9/108
used=60/108+9/108
used=69/108
used=23/36

1-23/36=
36/36-23/36=
13/36

answer is 13/36
5 0
2 years ago
Read 2 more answers
Is 3.14 irrational or rational
mixas84 [53]

Answer:

rational

Step-by-step explanation:

3 0
3 years ago
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