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gizmo_the_mogwai [7]
2 years ago
5

Sec6A - tan6A = 1+3tan2A.sec2A

Mathematics
1 answer:
larisa [96]2 years ago
6 0

sec ^6 A−tan ^6A=(1+tan ^2A−tan ^2 A)(1+tan ^4

A+2tan ^2 A+tan ^2 A+tan ^4 A+tan ^4 A)

sec ^6 A−tan ^6 A=1+3tan ^2 A+3tan ^4A

L.H.S. = R.H.S.

Hence proved

Step-by-step explanation:

♡´・ᴗ・`♡

You might be interested in
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
Arada [10]
The answer is 25%

(1)
If 64 is 100%, 48 is how much percent:
64 : 100% = 48 : x
x = 100% * 48 : 64
x = 75

(2)
Percent of decrease is:
100% - x = 100% - 75% = 25%

7 0
3 years ago
Write the equation of the line that has a slope of -4 and goes through (3,-3)
Sindrei [870]
The functional equation of the line is f (x)=a*x+b
you have already a: -4 -->f (x)=-4 x+b
Now you can use the point (3;-3)
3 is the x-coordinate and -3 the f (x)-coordinate
--> -3 = -4*(3) + b Now you can solve it
-3 = -12+b (+12)
b = 9
ANSWER: f (x) = -4x + 9
3 0
3 years ago
Me ajudem com a 3º questão
Alisiya [41]

I can't read that language but I'll guess it says write a second degree equation then solve for n when d=10.

10 = \dfrac{n(n-3)}{2}

20 = n^2 - 3n

n^2 - 3n - 20 = 0

Answer: n² - 3n - 20 = 0

That doesn't factor so there is no integer n solution.

That means there are no polygons with 10 diagonals.

n = \frac 1 2(3 \pm \sqrt{89})

7 0
3 years ago
What is the equation of the line that passes through the point(−7,−1) and has a slope of 1?
bonufazy [111]

Answer:

y=x+6

Step-by-step explanation:

Put (-7,-1) into

y-y1=m(x-x1) form, and m=1 (the slope)

y+1=1(x+7)

y+1=x+7

y=x+6

Happy Holidays!

4 0
3 years ago
What is the answer to -12/-9 is equal to what
Aleksandr [31]
\frac{-12}{-9}=\frac{12}{9}=\frac{12:3}{9:3}=\frac{4}{3}=\frac{3+1}{3}=\frac{3}{3}+\frac{1}{3}=1\frac{1}{3}
3 0
4 years ago
Read 2 more answers
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