1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5
sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5
cos Ф=1/secФ
cos Ф=1 / 13/5=5/13
we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13
answer: d.12/13
other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13
answer: d.12/13
Answer:
300000
Step-by-step explanation:
Three hundred thousand
Answer:
Step-by-step explanation:
step 1:- by using partial fractions
![[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7B1-x%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D%20%3D%5Cfrac%7BA%28x%5E%7B2%7D%2B1%29%2B%28Bx%2BC%29%28x%20%7D%7Bx%28x%5E%7B2%7D%2B1%29%20%7D)
......(1)
<u>step 2:-</u>
solving on both sides
substitute x =0 value in equation (2)
1=A(1)+0
<u>A=1</u>
comparing x^2 co-efficient on both sides (in equation 2)
0 = A+B
0 = 1+B
B=-1
comparing x co-efficient on both sides (in equation 2)
<u>-</u>1 = C
<u>step 3:-</u>
substitute A,B,C values in equation (1)
now
by using integration formulas
i) by using 
.....(b)
.....(c)
<u>step 4:-</u>
by using above integration formulas (a,b,and c)
we get answer is
Without seeing the graph, it's impossible to tell. The same can be said if we don't know the function rule. However, we can rule out three non-answers.
Choice B is false because the interval [1,3] has f(x) below zero but the rest of the interval to the right of x = 3 has f(x) not below zero.
Choice C is false. The value x = -1 leads to f(x) = 0 which is not greater than 0
Choice D is false because the values 8 and 4 are positive
After eliminating B, C, & D, we are left with choice A as the answer.
Answer:
$240
Step-by-step explanation:
Debbie's profit is the difference between her revenue and cost:
profit = revenue - cost
profit = $320 - 80
profit = $240
Debbie's total profit is $240.
