Step-by-step explanation:
Left hand side:
tan 203° + tan 22° + tan 203° · tan 22°
From angle sum identities, we know:
tan (α + β) = (tan α + tan β) / (1 − tan α · tan β)
Therefore:
tan (203° + 22°) = (tan 203° + tan 22°) / (1 − tan 203° · tan 22°)
tan (225°) = (tan 203° + tan 22°) / (1 − tan 203° · tan 22°)
1 = (tan 203° + tan 22°) / (1 − tan 203° · tan 22°)
tan 203° + tan 22° = 1 − tan 203° · tan 22°
Substituting:
1 − tan 203° · tan 22° + tan 203° · tan 22°
1
Answer:
C
Step-by-step explanation:
When reflecting around the x axis, the x value stays the same and the y- will change.
Y = 8 · 3ˣ for x=4
y = 8 · 3⁴
y = 8 · 81
y = 648
<h2>
Answer:</h2><h2>
The probability that the student is taking Calculus or French = 
</h2>
Step-by-step explanation:
The total number of students = 100
Let A represents calculus and B represents French
The no of students taking calculus = 32
The no of students taking French = 29
The no of students taking calculus and french = 13
the probability that the student is taking Calculus or French = ?
P (AUB) = P(A) + P(B) - P(A∩B)
=
+
- 
= 
Reducing to lowest fraction, it becomes 
The probability that the student is taking Calculus or French = 
Answer:-1
Step-by-step explanation:f(x)=3-x2
This is also...
f(x)=3+[(-1)(x2)]
We will execute the exponential. Then, we will multiply the result by the coefficient of -1.
f(-2)=3-(-2)2
f(-2)=3-(+4)
f(-2)=3-4
f(-2)=-1