How do i do question 3 a b c

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 sin is arcsin, and the inverse of tan is arctan. 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°

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!