Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify $\frac{1 + {tan}^{2} x}{csc x sec x}$ $( 1 + tan^2x) / (cscxsecx)$ ?

1 Answer

bp · Stefan V.

Aug 31, 2015

tan x

Explanation:

$(1 + {tan}^{2} x) = {sec}^{2} x$ $(1+tan^2x) = sec^2 x$ , hence the given expression gets simplified to

$\frac{sec x}{csc x} = \frac{sin x}{cos x} = tan x$ $secx /cscx = sinx/cosx= tanx$

Related questions

How do you use the fundamental trigonometric identities to determine the simplified form of the...
How do you apply the fundamental identities to values of $θ$ $theta$ and show that they are true?
How do you use the fundamental identities to prove other identities?
What are even and odd functions?
Is sine, cosine, tangent functions odd or even?
How do you simplify $sec x cos (\frac{π}{2} - x)$ $sec xcos (frac{\pi}{2} - x )$ ?
If $csc z = \frac{17}{8}$ $csc z = \frac{17}{8}$ and $cos z = - \frac{15}{17}$ $cos z= - \frac{15}{17}$ , then how do you find $cot z$ $cot z$ ?
How do you simplify $\frac{{sin}^{4} θ - {cos}^{4} θ}{{sin}^{2} θ - {cos}^{2} θ}$ $\frac{\sin^4 \theta - \cos^4 \theta}{\sin^2 \theta - \cos^2 \theta}$ using...
How do you prove that tangent is an odd function?
How do you prove that $sec (\frac{π}{3}) tan (\frac{π}{3}) = 2 \sqrt{3}$ $sec(pi/3)tan(pi/3)=2sqrt(3)$ ?

See all questions in Fundamental Identities

Impact of this question

3796 views around the world

You can reuse this answer
Creative Commons License