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Mathematics 14 Online
OpenStudy (anonymous):

Gud mornin evrybody.umm i need help in trignometry

OpenStudy (anonymous):

OpenStudy (anonymous):

oh another guy asked this too :D http://openstudy.com/study#/updates/53c763b0e4b05c273e9e9a65 well do u know what is sec and cosec ?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

plsa write it step by step

OpenStudy (anonymous):

ok,we'll solve it step by step.

OpenStudy (anonymous):

kk

OpenStudy (anonymous):

let's solve the first one...we can factor and simply write : 9(sec^2 A - tan^2 A)

OpenStudy (anonymous):

and you know sec^2 A = 1/cos^2 A ... ok?

OpenStudy (anonymous):

ya but y is 9 out of th ebracket

OpenStudy (anonymous):

i factored...for example we have 9a + 9b ... we can factor it and write : 9(a+b)

OpenStudy (anonymous):

ya since 9 is common

OpenStudy (anonymous):

exactly :) and sec^2 A = 1/cos^2A and as we have this: \(\Large \color{Lime}{1 + \tan ^2 A = \frac{ 1 }{ \cos ^2 A }}\)

OpenStudy (anonymous):

we can substite 1/cos^2A or sec^A got it?

OpenStudy (anonymous):

@plshelp9oup , are u confused?

OpenStudy (anonymous):

yupppp

OpenStudy (anonymous):

@PFEH.1999

OpenStudy (anonymous):

you're confused? ok ... why are u confused? what made u confused?

OpenStudy (anonymous):

@plshelp9oup , where are u?

OpenStudy (anonymous):

sry i have to go plz hurry up.

OpenStudy (anonymous):

i cant understand wat u told @PFEH.1999

OpenStudy (anonymous):

ok...did you get this that we can factor and make 9(sec^2 A - tan^2 A ) ?

OpenStudy (anonymous):

hmm..

OpenStudy (anonymous):

and have u seen this formula? \( \Large \color{Lime}{1 + \tan ^2 A = \frac{ 1 }{ \cos ^2 A }} \)

OpenStudy (anonymous):

ya

OpenStudy (anonymous):

so as 1/cos^2 A = you can write : \( \Large \color{Green}{1 + \tan ^2 A = sec^2 A } \)

OpenStudy (anonymous):

1/cos^2A = sec^2 A

OpenStudy (anonymous):

wht??

OpenStudy (anonymous):

i said you that 1/cos^2 A = sec^2 A so we substite it and we'll be able to find that.

OpenStudy (anonymous):

ya k

OpenStudy (anonymous):

\( \color{Orange}{9 \sec^2 A - 9\tan^2 A = 9(\sec^2 A - \tan^2 A) = 9((1 + \tan^2A) - \tan^2 A) = 9(1) = 9} \)

OpenStudy (anonymous):

umm whhic question ru doin

OpenStudy (anonymous):

i am solving (i) (number one)

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

got it?

OpenStudy (anonymous):

leave dis quesiton bro lets do (iii)

OpenStudy (anonymous):

ya nd i got it ( i mean the (i) i understood

OpenStudy (anonymous):

ok,u can use the rule (a+b)(c-d) = ac + bc - ad - bd :)

OpenStudy (anonymous):

wht is tht rule is it same asa (a+b)(a-b) ??

OpenStudy (anonymous):

u dere

OpenStudy (anonymous):

no i meant that you can use this to solve number three.

OpenStudy (anonymous):

you can write number three in this way: \[\sec A + \tan A - (secA)(sinA) - (tanA)(sinA)\]

OpenStudy (anonymous):

how did u do tht

OpenStudy (anonymous):

i used this: (a+b)(c-d) = ac + bc - ad - bd

OpenStudy (anonymous):

this is an example which helps you

OpenStudy (anonymous):

wait hold a sec dis is wht i did

OpenStudy (anonymous):

ok,what was your final answer?

OpenStudy (anonymous):

hold a sec plss

OpenStudy (anonymous):

i don't see anything..please attach it

OpenStudy (anonymous):

click the link

OpenStudy (anonymous):

OpenStudy (anonymous):

plz just tell me ur final answer.

OpenStudy (anonymous):

the final answer is cos A

OpenStudy (anonymous):

@plshelp9oup , do u want to know how?

OpenStudy (anonymous):

i couldnt get it

OpenStudy (anonymous):

ya it is cos a but how did u get it

OpenStudy (anonymous):

try continuing frn where i stopped

OpenStudy (anonymous):

well , i found \( \sec A + \tan A - (secA)(sinA) - (tanA)(sinA) \) but as (secA)(sinA) = sinA\sosA = tan A so the expression would be: \(\color{lime}{\sec A - (tanA)(sinA) }\)

OpenStudy (anonymous):

sos A???

OpenStudy (anonymous):

sos???

OpenStudy (anonymous):

you mean cos A?

OpenStudy (anonymous):

no u wrote sos a

OpenStudy (anonymous):

oh sry ! i meant cos A

OpenStudy (anonymous):

(secA)(sinA) = sinA\cosA = tan A

OpenStudy (anonymous):

so we found \( \color{lime}{\sec A - (tanA)(sinA) } \) but \(\large (tanA)(sinA) = (\frac{ sinA }{ cosA })(sinA) = \frac{ \sin^2 A }{ cosA } \)

OpenStudy (anonymous):

and do u know sin^2A + cos^2A = 1 ?

OpenStudy (anonymous):

@plshelp9oup

OpenStudy (anonymous):

you wait too much! what are u doing?

OpenStudy (anonymous):

umm sorry i was eating

OpenStudy (anonymous):

ok...i've to go..sry...i'll call one of my friends to continue helping u.

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

gee thnx

ganeshie8 (ganeshie8):

looks most of them are already solved, which problem are you working on right now ? :)

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