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Charra [1.4K]
3 years ago
5

I really need help im confuzzled​

Mathematics
1 answer:
azamat3 years ago
6 0

Answer: same

Step-by-step explanation:

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Simplify the trigonomic expression 1/1+ sin
Softa [21]

Answer:

\sec^2\theta-\tan\theta\sec\theta

Step-by-step explanation:

We have to simplify the trigonometric expression \frac{1}{1+\sin\theta}

Let us multiply the numerator and denominator by 1-\sin\theta

\frac{1}{1+\sin\theta}\times\frac{1-\sin\theta}{1-\sin\theta}

In the denominator apply the formula for difference of squares

a^2-b^2=(a+b)(a-b)

Thus, the denominator will become

(1+\sin\theta)(1-\sin\theta)=1-\sin^2\theta

Thus, the expression is

\frac{1-\sin\theta}{1-\sin^2\theta}

Using the relation 1-\sin^2\theta=\cos^2\theta

\frac{1-\sin\theta}{\cos^2\theta}

We can rewrite this expression as

\frac{1}{\cos^2\theta}-\frac{\sin\theta}{\cos^2\theta}

Finally, the simplified expression is

\sec^2\theta-\tan\theta\sec\theta

6 0
3 years ago
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Help I don't understand
Leona [35]
150 student voted for later start.
8 0
3 years ago
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
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Your grandfather placed $5,000 in a trust fund for you. In 12 years, the fund will be
PolarNik [594]

Answer:

fv/pv=(1+r)^n

10,000/5000=(1+r%)^12

2=(1+r%)^12

r= 5.95

4 0
3 years ago
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3/8 \ 1/4= show your work ASAP
Rashid [163]
12/8=3/2 TIMES THE OPPOSITE <span />
8 0
4 years ago
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