Question

WILL GIVE MEDAL!!!! If tan(theta) = 3/4 and theta is an acute angle, find cos(theta)

Answer 1

HInt;-
\[\sec^2(\theta) - \tan^2(\theta) = 1\]
from above determine sec(theta)

Answer 2

remember \[\cos(\theta) = \frac{ 1 }{ \sec(\theta) }\]

Answer 3

I'm just lost. I don't even know what answer I am supposed to have

Answer 4

in ques value of tan(theta) is given
from this u can determine sec(theta)

Answer 5

hmmm how would I do that? find sin?

Answer 6

@niksva

Answer 7

no
tan(theta) = 3/4 is given
sec^2(theta)-tan^2(theta) = 1
now plug in the value of tan(theta)
and see what will come?

Answer 8

x=sqrt19/4?

Answer 9

@niksva

Answer 10

sec^2(theta) - (3/4)^2 = 1
sec^2(theta) - 9/16 = 1
sec^2(theta) = 1 +(9/16)
sec^2(theta) = (16+9)/16
sec^2(theta) = 25/16
sec(theta) = 5/4
now u can determine cos(theta) ??????????

Answer 11

cos(theta) = 4/5? So 4/5 is my answer

Answer 12

@niksva

Answer 13

yeah!!!

Answer 14

What about: If sin(theta)=12/13 and theta is a acute angle, find cot(theta)

Answer 15

i have shown all the steps of previous answer
now u have to show me your work first

Answer 16

I know that cot=1/tan and that tan=sin/cos. so tan=(12/13)/cos

Answer 17

from sin(theta) , determine cosec(theta) first?
then use
cosec^2(theta) - cot^2(theta) = 1

Answer 18

this is all new to me. I don't know how to do that

Answer 19

@niksva why can't you just show me step by step?

Answer 20

i have shown u the steps of the previous ques
u need to try it out first because i m here to help only
and this time show your steps systematically

Answer 21

but I have no clue how to do it. you showed me steps to finding cos, not cot

Answer 22

@niksva

Answer 23

value of sin(theta) is given
tell me what is cosec(theta) ?

Answer 24

csc=13/12

Answer 25

@pgpilot326 please help

Answer 26

\[\tan \theta=\frac{ 3 }{ 4 }=\frac{ perpendicular }{ base }\]

Answer 27

hypotenuse= root(perpendicular ^2 + base^2)=root(3^2+4^2)=root(9+16)=root25
=5
\[\cos \theta = \frac{ base }{ hypotenuse}=\frac{ 4 }{ 5}\]

Answer 28

@washcaps

Answer 29

hey @gorv I actually answered the first question already as 4/5 is my answer. I need help on the second

Answer 30

draw a pic, then it's easier to see