Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find cot x if sin x cot x csc x = √2?

1 Answer

Jan 4, 2016

$cot x = \sqrt 2$ $cot x = √2$

Explanation:

note that the function # cscx = 1/sinx

hence $sin x \times cot x \times \frac{1}{sin x} = \sqrt{2}$ $sinx xx cotx xx 1/sinx =sqrt 2$

cancelling out the $sin x$ $sinx$ terms

gives $cot x = \sqrt{2}$ $cotx = sqrt2$

Related questions

What does it mean to prove a trigonometric identity?
How do you prove $csc θ \times tan θ = sec θ$ $\csc \theta \times \tan \theta = \sec \theta$ ?
How do you prove $(1 - {cos}^{2} x) (1 + {cot}^{2} x) = 1$ $(1-\cos^2 x)(1+\cot^2 x) = 1$ ?
How do you show that $2 sin x cos x = sin 2 x$ $2 \sin x \cos x = \sin 2x$ ? is true for $\frac{5 π}{6}$ $(5pi)/6$ ?
How do you prove that $sec x cot x = csc x$ $sec xcot x = csc x$ ?
How do you prove that $cos 2 x (1 + tan 2 x) = 1$ $cos 2x(1 + tan 2x) = 1$ ?
How do you prove that $\frac{2 sin x}{sec x (cos 4 x - sin 4 x)} = tan 2 x$ $(2sinx)/[secx(cos4x-sin4x)]=tan2x$ ?
How do you verify the identity: $- cot x = \frac{sin 3 x + sin x}{cos 3 x - cos x}$ $-cotx =(sin3x+sinx)/(cos3x-cosx)$ ?
How do you prove that $\frac{tan x + cos x}{1 + sin x} = sec x$ $(tanx+cosx)/(1+sinx)=secx$ ?
How do you prove the identity $\frac{sin x - cos x}{sin x + cos x} = \frac{2 {sin}^{2} x - 1}{1 + 2 sin x cos x}$ $(sinx - cosx)/(sinx + cosx) = (2sin^2x-1)/(1+2sinxcosx)$ ?

See all questions in Proving Identities

Impact of this question

14000 views around the world

You can reuse this answer
Creative Commons License