Mathematics
11 Online
OpenStudy (kkbrookly):
help pleaseeee
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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
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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)
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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
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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