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Dafna1 [17]
3 years ago
13

Let T be a linear transformation from Rr to Rs. Determine whether or not T is one-to-one in each of the following situations: 1.

r=s 2. r>s 3. r
Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

12

Step-by-step explanation:

1=1=56

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Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?
dusya [7]
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad csc(\theta)=\cfrac{1}{sin(\theta)}
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\\\\
-------------------------------\\\\

\bf \cfrac{cos(\theta )cot(\theta )}{1-sin(\theta )}-1=csc(\theta )\\\\
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\cfrac{cos(\theta )\cdot \frac{cos(\theta )}{sin(\theta )}}{1-sin(\theta )}-1\implies \cfrac{\frac{cos^2(\theta )}{sin(\theta )}}{\frac{1-sin(\theta )}{1}}-1\implies 
\cfrac{cos^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{1-sin(\theta )}-1
\\\\\\
\cfrac{cos^2(\theta )}{sin(\theta )[1-sin(\theta )]}-1\implies 
\cfrac{cos^2(\theta )-1[sin(\theta )[1-sin(\theta )]]}{sin(\theta )[1-sin(\theta )]}

\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]}
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\cfrac{cos^2(\theta )+sin^2(\theta )-sin(\theta )}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{\underline{1-sin(\theta )}}{sin(\theta )\underline{[1-sin(\theta )]}}
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7 0
3 years ago
6/1 x (4/5 + 2/10) 2/3
dem82 [27]

The result can be shown in both exact and decimal forms.

Exact Form:

2

3

Decimal Form:

0.

¯

6

5 0
4 years ago
Urgent please help..
Strike441 [17]

Answer:

b = 7√3

Step-by-step explanation:

This 30°- 60°- 90° triangle has the proportions:

side opposite of the 30° angle = x

side opposite of the 60° angle = x√3

side opposite of the 90° angle = 2x

____________________________

Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.

Since x = 7, x√3 = 7√3, and therefore

b = 7√3.

8 0
3 years ago
A football team won 75% of 120 games in a season . how many games is that
insens350 [35]

Hey! First you do 120 divided by 4 which equals 30 then you do 30 x 3 which is 90 which equals 90. So they won 90 games and lost 30 games.

Hope this helps!

3 0
3 years ago
Kofi is 3 years older than Ama.If Ama is now x years old, what is kofi age​
Likurg_2 [28]

Answer:

x+3

Step-by-step explanation:

Kofi is 3 years older than Ama, so the answer is "x+3".

4 0
3 years ago
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