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BARSIC [14]
2 years ago
6

Simplify: sin^2xcos^2x-cos^2x

Mathematics
1 answer:
shtirl [24]2 years ago
8 0

Answer:

-cos^4(x)

Step-by-step explanation:

Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)

1-sin^2(x) = cos^2(x)

-1+sin^2(x) = -cos^2(x)

cos^2(x) (-cos^2(x))

Step 2: Factor out common terms cos^2(x)

cos^2(x) (sin^2(x)-1)

Ans: -cos^4(x)

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Answer: 26 years.

Step-by-step explanation:

Let x = current age of Louise  (in years).

Then current  age of James =  x+6

Eight years from now, James's age = x+6+8= x+14

4 years ago, Louise's age = x-4

According to the question

x+14 = 4(x-4)

⇒ x+14 = 4x-16

⇒ 4x-x = 16+14

⇒ 3x = 30

⇒ x= 10 = current age of Louise  (in years).

current  age of James =  10+6 = 16 years

Sum of current ages = 16+10=26 years.

hence, the sum of the current ages is 26 years.

8 0
3 years ago
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Step-by-step explanation:

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6 0
2 years ago
Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to
Alona [7]
   
\displaystyle \\ &#10;\text{We use the following equation:} \\  \\ &#10; \frac{n}{2} = n - 38 \\  \\ &#10;We solve for n: \\  \\ &#10; \frac{n}{2} = n - 38 ~~\Big| \times 2 \\  \\  &#10;n = 2 \times  n - 2 \times 38 \\  \\ &#10;n = 2n - 76 \\  \\ &#10;2n - n = 76 \\  \\ &#10;\boxed{n = 76} \\  \\ &#10;\text{Verification: } \\  \\ &#10;\frac{n}{2} = n - 38 \\  \\ &#10;\frac{76}{2} = 76 - 38 \\  \\ &#10;\boxed{38 = 38  ~~~ Correct }



8 0
3 years ago
What do the following two equations represent?
Dima020 [189]

Answer:

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6 0
3 years ago
How is the number 0.000005 written in scientific notation?
nirvana33 [79]

Answer:      The answer is A. 5.0 x 10-5

i hope it helps. Have a nice day                                                                                                                  

Step-by-step explanation:

the decimal number 0.00005 written in scientific notation is 5 × 10-5

4 0
2 years ago
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