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Sunny_sXe [5.5K]
3 years ago
12

Verify the basic identity. What is the domain of the validity? cot x= cos x csc x

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0
Expand and simplify LHS - Apply identity sin^2x+cos^2x = 1 To verify: (cotx<span> - </span>cscx)(cosx+1) =-sinx LHS=(cosx/sinx - 1/sinx)(cosx<span>+1)</span>
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Solve the Equation <br> 2x-3=14<br> -x+3y=-6
andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}

If first equation is correct.

2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}

6 0
3 years ago
Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if
ale4655 [162]

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

8 0
3 years ago
Read 2 more answers
What does number one mean of letter b
soldier1979 [14.2K]

Answer:

M, N, O

Step-by-step explanation:

This line contains the letter "M"

6 0
3 years ago
Simplify the expression below. Show your Work.
lord [1]

Answer:

7y + 24

Step-by-step explanation:

Think of the negative sign to the left of the parentheses as being -1. Then apply the distributive property. The effect of a negative sign to the left of parentheses or a 1 to the left of parentheses is that each term inside the parentheses changes sign.

-(-7y - 24) = -1(-7y - 24) = (-1)(-7y) - (-1)(24) = 7y - (-24) = 7y + 24

8 0
3 years ago
Which is the only strategy down below that does NOT work when figuring out what 30% of 2,000 is?
ozzi

Answer:

C. 0.03 x 2000

6 0
3 years ago
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