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ch4aika [34]
3 years ago
5

How do i do question 3 a b c

Mathematics
1 answer:
viva [34]3 years ago
3 0

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°

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