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Anton [14]
2 years ago
11

Prove that sin^4x - cos^4x = 2sin^2x - 1

Mathematics
1 answer:
Liula [17]2 years ago
5 0

Step-by-step explanation:

Step 1: From the given equation, taking the Left Hand Side (LHS) of the equation

Step 2: Simplify the LHS to make it equal to the Right Hand Side (RHS)

LHS = sin^4x - cos^4x = (sin²x)² - (cos²x)²

       = (sin²x - cos²x)(sin²x + cos²x)

       = sin²x - (1 - sin²x)  since sin²x + cos²x = 1

       = 2 sin²x - 1

       = RHS

Hence proved.

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Mike sees 3 more fish than Chris. Chris sees 6 fish. How many fish does Mike see? It says use comparison bars. Thanks
Katen [24]
Chris sees 6 fish.

Mike sees 3 more fish than Chris.

6 + 3 = 9

So on your bar, you have Chris's number of fish he saw, 6, and you have 3 being added to that on Mike's bar.
4 0
3 years ago
Read 2 more answers
Two brothers have ages that are consecutive odd integers. The product of their ages is 38 less than the older brother's age squa
Lemur [1.5K]

answer = the elder bother is 17 and the younger one is 15

constructive odd integers= 15 and 17

17×15= 255

255+38 = 293

Square root of 293 = 17

5 0
3 years ago
How long will it take for an investment to triple if it is compounded continuously at 12%
myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

3P = P(1 + \frac{12}{100} )^{y}

⇒ (1 + \frac{12}{100} )^{y} = 3

⇒ (1.12)^{y} = 3

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, \log a^{b} = b \log a }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0
2 years ago
Square root of 5 rounded to the nearest tenth
Korolek [52]
The square root of 5 is 2
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3 years ago
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