Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
This problem states that an overseas telephone call costs 0.36 cents per minute. They spend 6 minutes on the call.
All you have to do is multiply 0.36 cents on 6 minutes.
Your answer is $2.16
Hope this helped! :D
Answer:
176
Step-by-step explanation:
just simplify the given mathematical statement
Answer:
a = 13, b = - 3
Step-by-step explanation:
Expand the left side and compare like terms on both sides
(3x + 1)(x - 2) ← expand using FOIL
= 3x² - 5x - 2
left side = 3x² - 5x - 2 + ax + b ← combine like terms
= 3x² + x(a - 5) + b - 2
right side = 3x² + 8x - 5
For the 2 sides to be equal then
a - 5 = 8 ( add 5 to both sides )
a = 13
and
b - 2 = - 5 ( add 2 to both sides )
b = - 3
