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tatyana61 [14]
3 years ago
11

Can someone solve this?

Mathematics
1 answer:
ladessa [460]3 years ago
6 0
  • First question:

Recall that \cos^2x+\sin^2x=1 and \sqrt{x^2}=|x| for all x. So

\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|

\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|

For 0, we expect both \cos x>0 and \sin x>0 (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, |x|=x if x>0.

So we have

\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}

making H the answer.

  • Second question:

C is always true, because the inequality reduces to x > y.

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Answer:

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2 years ago
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riding find the length of the hypotenuse of the right triangle use pencil and paper explain how you can interpret the Pythagorea
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Solution

Question 1:

- Use of the area of squares to explain the Pythagoras theorem is given below

- The 3 squares given above have dimensions: a, b, and c.

- The areas of the squares are given by:

\begin{gathered} \text{For square of length }a\to a^2 \\ \text{For square of length }b\to b^2 \\ \text{For square of length }c\to c^2 \end{gathered}

- The Pythagoras theorem states that:

"The sum of the areas of the smaller squares add up to the area of the biggest square"

Thus, we have:

c^2=a^2+b^2

Question 2:

- We can apply the theorem as follows:

\begin{gathered} 10^2+24^2=c^2 \\ 100+576=c^2 \\ 676=c^2 \\ \text{Take square root of both sides} \\  \\ c=\sqrt[]{676} \\ c=26 \end{gathered}

Thus, the value of c is 26

7 0
1 year ago
What is the domain of f(x) = 3^x -2?
user100 [1]

Answer:

"all real numbers"

Step-by-step explanation:

This is an exponential function.  The domain of the basic exponential function 3^x is "all real numbers."  This domain also applies to f(x) = 3^x - 2.

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3 years ago
Pls help me with this math
Alexeev081 [22]

Answer:

62 is your answer

Step-by-step explanation:

6 × (36 ÷ 12)² + 8, you can also write 36 ÷ 12 as a fraction, which would look like this: 36/12

Step 1: 6 × 36/12² + 8 = 6 × 3² + 8

Step 2: Multiply 6 and 9

(6)(9)+8 = 54+8

Step 3: Then you add 54 and 9 and you get 62

Answer: 62

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Answer:

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Step-by-step explanation:

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so 14 times 19 times 2 = 532ft

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now you ad them, so 532 + 228 = 760

5 0
3 years ago
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