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Mathematics 11 Online
OpenStudy (kkbrookly):

help pleaseeee

OpenStudy (canadiansteve99):

It simplifies to 1

OpenStudy (anonymous):

well thats simple to simplifie to 1

jimthompson5910 (jim_thompson5910):

cos^2 + sin^2 = 1 divide everything by cos^2 to get 1 + tan^2 = 1/(cos^2)

jimthompson5910 (jim_thompson5910):

1-sin^2x is equal to cos^2(x)

jimthompson5910 (jim_thompson5910):

(1+tan^2x)(1-sin^2x) turns into (1/cos^2x)(cos^2x) the cos^2(x) down below cancels with the cos^2(x) up above

jimthompson5910 (jim_thompson5910):

get everything in terms of sine and/or cosine

jimthompson5910 (jim_thompson5910):

tan(x) = sin(x)/cos(x) cot(x) = cos(x)/sin(x)

jimthompson5910 (jim_thompson5910):

sec(x) = 1/cos(x) csc(x) = 1/sin(x)

jimthompson5910 (jim_thompson5910):

use those identities to help simplify

jimthompson5910 (jim_thompson5910):

yes tan(x) = sin(x)/cos(x)

jimthompson5910 (jim_thompson5910):

and you'll replace cot with cos/sin

jimthompson5910 (jim_thompson5910):

you mean tan(x)*sin(x) ?

jimthompson5910 (jim_thompson5910):

tan(x)*sin(x) is not equal to cos(x)

jimthompson5910 (jim_thompson5910):

ok one moment

jimthompson5910 (jim_thompson5910):

sorry nearly done typing this up for you

jimthompson5910 (jim_thompson5910):

check out this attached document

OpenStudy (kkbrookly):

Wow thank you so much for actually working it out! This seriously helped me so much and I can see how to figure out these problems now

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