Given:
<span>tan(B/2) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Apply the half angle formula to convert tan(B/2) to terms of B: </span>
<span>sin(B) / (1+cos(B)) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Convert everything else to be in terms of sin and cos: </span>
<span>sin(B) / (1+cos(B) = (1/cos(B)) / ((1/cos(B)) * (1/sin(B)) + (1/sin(B))) </span>
<span>Multiply right side by "sin(B)/sin(B)" to simplify the fractions: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + 1) </span>
<span>Change "1" to cos(B)/cos(B) and then combine over </span>
<span>common denominator: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + cos(B)/cos(B)) </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1+cos(B))/cos(B)) </span>
<span>Dividing by a fraction equals multiplying by its reciprocal: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) * (cos(B) / (1+cos(B))) </span>
<span>Multiply terms on the right side (canceling cos(B) terms): </span>
<span>sin(B) / (1+cos(B) = sin(B) / (1+cos(B)) </span>
WQJAbnuhajle hove ukleg disklhdnd obisolsyhdgo fibpiouhod09ziusvcevn Step-by-step explanation:
Answer:
28 times
Step-by-step explanation:
2.8414 x 10^9 ÷ 1.0127 x 10^8
(2.8414 ÷ 1.0127) · (10^9 ÷ 10^8)
2.8 x 10
28
Answer:
Isosceles triangle.
Step-by-step explanation:
In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;
For XY;
X(-4,2), Y(4.2)
XY = √(2-2)²(4-(-4)²)
XY = √(4+4)²
XY = √8²
XY = 8
For XZ;
X(-4,2), Z(0, - 1)
XZ = √(-1-2)²(0-(-4))²
XZ = √(-3)²+4²
XZ = √9+16
XZ = √25
XZ = 5
For XZ;
Y(4.2), Z(0, - 1)
YZ = √(-1-2)²(0-(4))²
YZ = √(-3)²+(-4)²
YZ = √9+16
YZ = √25
YZ = 5
Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.
NB: Isosceles triangle only have two of its sides and angles equal
