Prove each identity using a t-chart.

Left hand side Right hand side

a) csc^{2}x(1 - cos^{2}x)=1

b) (cot x + tan x)/sec x = csc x

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- January 1st 2013, 02:21 PMalejandroTrigonometric identities
**Prove each identity using a t-chart.**

Left hand side Right hand side

a) csc^{2}x(1 - cos^{2}x)=1

b) (cot x + tan x)/sec x = csc x

- January 1st 2013, 03:52 PMskeeterRe: Trigonometric identities
- January 1st 2013, 07:10 PMibduttRe: Trigonometric identities
could you clarify as to what do you mean by " using t-charts". Does it mean pluging in values of trigonometric ratios in terms of the sides of a right triangle like, adjacent, opposite & hypotenuse etc??

- January 1st 2013, 08:20 PMSorobanRe: Trigonometric identities
Hello, alejandro!

I'm not familiar with a t-chart.

Quote:

Since

Since

The left side becomes: .

Quote:

We have: .

Multiply by

. .

- January 2nd 2013, 09:17 AMalejandroRe: Trigonometric identities
for exercise a)csc2 x(1 - cos2 x)=1 I have to prove csc2 x(1 - cos2 x)=1

1 = 1 - January 2nd 2013, 01:24 PMskeeterRe: Trigonometric identities
- January 2nd 2013, 10:59 PMibduttRe: Trigonometric identities
We can also do it alternatively as shownAttachment 26453Attachment 26454