If (x) lies in the third quadrant and (\tan x=\frac{4}{3}), what is (\sin x)?
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Answer and explanation
Correct answer: (-\frac{4}{5} )
In the third quadrant, both (\sin x) and (\cos x) are negative, while (\tan x) is positive. Hence (\sin x=-\frac{4}{5}).
Frequently asked questions
What is the correct answer to this question?
(-\frac{4}{5} )
Why is this the correct answer?
In the third quadrant, both (\sin x) and (\cos x) are negative, while (\tan x) is positive. Hence (\sin x=-\frac{4}{5}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
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