Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
Answer:
38 degrees
Step-by-step explanation:
if it is half a tenth or more, it gets rounded up to the next degree
If the scale factor is less then 1, it was reduced.
If the scale factor is more than 1, it was enlarged.
If it is equal to 1, it is the same.
Hope this helps!
Answer:
A = 169π/4
Step-by-step explanation:
From these two given points we find the length of the diameter of this circle, using the Pythagorean Theorem:
d^2 = (8 - 3)^2 + (13 - 1)^2, or
d^2 = 25 + 144 = 169
Thus, the diameter, d, of this circle is √169, or 13.
The radius is thus 13/2 units.
The area formula is A = πr^2. Here the area is
A = π(169/4), or A = 169π/4
