If θ is a positive acute angle and cosec θ =

Home » Aptitude » Trigonometry » Question

If θ is a positive acute angle and cosec θ = √3 , then the value of cot θ – cosec θ is

cosecθ = √3
cotθ = √cosec² θ - 1
=(√√3² - 1) = √3 - 1 = √2
∴ cotθ - cosecθ = √2 - √3

=	3√2 - √2	= (√2 - √3)
	3

	√2(3 + √3)
	3

	√2(3 - √3)
	3