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BARSIC [14]
3 years ago
12

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

Mathematics
1 answer:
Anit [1.1K]3 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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This year, a small business had a total revenue of $ 62 , 100. If this is 35 % more than their total revenue from the previous y
Olegator [25]

Answer:

$46000

Step-by-step explanation:

if x represents the previous years revenue, and they made 35% more than x, we need to find what 35% of x is and then add it to x to get the new total, so the equation becomes:

x + .35x = 62100

1.35x = 62100

x = 46000

4 0
3 years ago
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Please help me, I’ll mark your answer as brainliest! <br> Find g(x)
KengaRu [80]

Answer:

|x-3|-5

Step-by-step explanation:

f(x) = |x|

These lines are lines of absolute value equations. g(x) is shifted 3 units left so we subtract 3 from within the bars, and shifted down 5 units so we subtract 5 from the absolute value which leaves us with |x-3|-5

5 0
2 years ago
Answer the following <br><br> please give steps of how you got your answer
konstantin123 [22]

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

5 0
3 years ago
Geoffrey and his babysitter spent 20 minutes preparing dinner, 2 hours and 30 minutes playing board games, and half an hour maki
harkovskaia [24]
200 minutes 
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3 years ago
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ZA and ZB are complementary angles. If mZA = (7x + 23)° and
Marat540 [252]

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

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subtract 42 from both sides: 12x = 48

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simplify: ZB= 39°

5 0
3 years ago
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