prove (1-sin(x))/(1+sin(x))=(sec(x)-tan(x))^2

Full pad

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify prove identity periodicity amplitude

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

prove 1−sin(x)1+sin(x) =(sec(x)−tan(x))²

Solution

True

Show Steps

Hide Steps

Solution steps

One step at a time

1−sin(x)1+sin(x) =(sec(x)−tan(x))²

Manipulating right side

(sec(x)−tan(x))²

Express with sin, cos

=(1−sin(x))²cos²(x)

Rewrite using trig identities

=1−sin(x)sin(x)+1

=1−sin(x)1+sin(x)

We showed that the two sides could take the same form

⇒ True

Description

The Trigonometry Calculator is a powerful online tool designed to assist users in solving various trig problems efficiently. Here's how to make the most of its capabilities:

Begin by entering your mathematical expression into the above input field, or scanning it with your camera.
Once you've entered the function and selected the operation, click the 'Go' button to generate the result.
The calculator will instantly provide the solution to your trigonometry problem, saving you time and effort.
For more complex problems, the calculator offers step-by-step solutions, helping you understand the calculus concepts and procedures involved.

Trigonometry Examples