First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
<span>you just have to multiply the bases.
3 x 9 = ?
add the exponents of the base 10
10^8(10^7)= 10^(8+7)</span>
Younger than = less than
Less than symbol = <
People cannot have a negative age, so a must be positive
B. <span>a < 18 and a must be a positive number</span>
Dear Student,
Answer to your query is provided below:
The length of segment AB = 8
Explanation to answer is provided by attaching image.
Yes because each x value differ by 2.5 and each y value also differs at aconstant rat of 1
