Tan^2 x - Tan^ x sin^2 x
= tan^2x ( 1 - sin^2 x)
= tan^2 x * cos^x
= sin^2 x * cos^2 x
----------------------
cos^2 x
= sin^2 x
Answer:
a. Simplify each term. 49/2+0
Add 49/2 and 0.
49/2
The result can be shown in multiple forms.
Exact Form:
49/2
b. Replace the variable a with −13 in the expression.
−(−1/3)²b²−3(−1/3)³b²
Replace the variable b with −1 in the expression.
−(−1/3)²(−1)²−3(−1/3)³(−1)²
Simplify each term. −1/9+1/9 = 0
Combine fractions. 0
Step-by-step explanation:
Distribute the 3a^n to all the other values then solve...
(3a^n*a^n)+(3a^n*a^n)+(3a^n*-1)
4a^2n+4a^2n-3a^n=
8a^2n-3a^n
We are given
Vertical asymptotes:
Firstly, we will factor numerator and denominator
we get
We can see that (x-3) is common in both numerator and denominator
so, we will only set x+3 to 0
and then we can find vertical asymptote
Hole:
We can see that (x-3) is common in both numerator and denominator
so, hole will be at x-3=0
Horizontal asymptote:
We can see that degree of numerator is 2
degree of denominator is also 2
for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator
and we get
y=1
now, we can draw graph
Graph:
The length is (3/5 -1/5)=2/5
the height is also 2/5
area: length * height =2/5 *2/5=4/5
D is correct.