The main one is the Pythagorean identity,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
By dividing both sides by cos²(<em>x</em>), you get the tan-sec variant:
sin²(<em>x</em>)/cos²(<em>x</em>) + cos²(<em>x</em>)/cos²(<em>x</em>) = 1/cos²(<em>x</em>)
tan²(<em>x</em>) + 1 = sec²(<em>x</em>)
since tan(<em>x</em>) = sin(<em>x</em>)/cos(<em>x</em>) and sec(<em>x</em>) = 1/cos(<em>x</em>).
So the given expression reduces to
(sin²(<em>x</em>) + tan²(<em>x</em>) + cos²(<em>x</em>)) / sec²(<em>x</em>)
= (1 + tan²(<em>x</em>)) / sec²(<em>x</em>)
= sec²(<em>x</em>) / sec²(<em>x</em>)
= 1
Answer:
that would be more liberal ideoligies but it actually sound like they are leaning towards being a leftist than liberal.
Step-by-step explanation:
Answer:
![540^{\circ},\ 1080^{\circ},\ 1800^{\circ},\ 6840^{\circ},\ 9000^{\circ},\ 17640^{\circ}](https://tex.z-dn.net/?f=540%5E%7B%5Ccirc%7D%2C%5C%201080%5E%7B%5Ccirc%7D%2C%5C%201800%5E%7B%5Ccirc%7D%2C%5C%206840%5E%7B%5Ccirc%7D%2C%5C%209000%5E%7B%5Ccirc%7D%2C%5C%2017640%5E%7B%5Ccirc%7D)
Step-by-step explanation:
The sum of the measures of the interior angles of each convex n-sided polygon is always equal to
![(n-2)\cdot 180^{\circ}.](https://tex.z-dn.net/?f=%28n-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D.)
1. A pentagon is 5-sided polygon, then the sum of the measures of the interior angles of pentagon is
![(5-2)\cdot 180^{\circ}=540^{\circ}.](https://tex.z-dn.net/?f=%285-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D%3D540%5E%7B%5Ccirc%7D.)
2. An octagon is 8-sided polygon, then the sum of the measures of the interior angles of octagon is
![(8-2)\cdot 180^{\circ}=1080^{\circ}.](https://tex.z-dn.net/?f=%288-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D%3D1080%5E%7B%5Ccirc%7D.)
3. A dodecagon is 12-sided polygon, then the sum of the measures of the interior angles of dodecagon is
![(12-2)\cdot 180^{\circ}=1800^{\circ}.](https://tex.z-dn.net/?f=%2812-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D%3D1800%5E%7B%5Ccirc%7D.)
4. For 40-sided polygon the sum of the measures of the interior angles is
![(40-2)\cdot 180^{\circ}=6840^{\circ}.](https://tex.z-dn.net/?f=%2840-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D%3D6840%5E%7B%5Ccirc%7D.)
5. For 52-sided polygon the sum of the measures of the interior angles is
![(52-2)\cdot 180^{\circ}=9000^{\circ}.](https://tex.z-dn.net/?f=%2852-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D%3D9000%5E%7B%5Ccirc%7D.)
6. For 100-sided polygon the sum of the measures of the interior angles is
![(100-2)\cdot 180^{\circ}=17640^{\circ}.](https://tex.z-dn.net/?f=%28100-2%29%5Ccdot%20180%5E%7B%5Ccirc%7D%3D17640%5E%7B%5Ccirc%7D.)
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x= −20/3
Decimal Form:
x= −6.66...
Mixed Number Form:
x= −6 2/3
Step-by-step explanation: