Question

plz solve this question and answer it soon i need the answer quickly plz : the question is :
if tan35=2a-1 then solve (sin145-sin235)/cos325

Answer 1

2a=tan35+1
a=1/2*(tan35+1)

Answer 2

0.85010376910485488972926135972242

Answer 3

dear duke we dont neet to find a we need to solve (sin145-sin235)/cos325

Answer 4

there is nothing to solve there
we solve equations
that is an expression
do you mean approximate or simplify?

Answer 5

translation maybe but one statement stand on it's on as myininaya states

Answer 6

approximate

Answer 7

1.700207538

Answer 8

1.7002075382097097794585227194448
same as myininaya

Answer 9

myninaya can u write the way u solved plz?

Answer 10

but with a closer approximation lol

Answer 11

i mean u do duke have the closer one

Answer 12

ok roh do you have a calculator

Answer 13

oh what type of calculator?
hp or ti
order of operations is the problem most likely

Answer 14

go to mode
put in degrees

Answer 15

lolz any way without calculator through any trignmoetry formula

Answer 16

((sin(145))-(sin(235)))/(cos(325)) in ti32

Answer 17

i did like this : (sin(90+55)-sin(90+55))/cos(270+55)

Answer 18

sin(145)-sin(235)
=sin(145)-sin(145+90)
=sin(145)-[sin(145)cos(90)+sin(90)cos(145)]
=sin(145)-[sin(145)*0+1*cos(145)]
=sin(145)-cos(145)

---------------------
cos(325)=cos(180+145)=cos(145)cos(180)-sin(145)sin(180)
=cos(145)*(-1)-sin(145)*0
=-cos(145)

so we have
\[\frac{\sin(145)-\cos(145)}{-\cos(145)}=\frac{\sin(145)}{-\cos(145)}+1=-\tan(145)+1\]
hmm...
thinking....

Answer 19

i dont see how to not do it with a calculator
anyone else?

Answer 20

without*

Answer 21

sin (145) = sin (180- 35) = sin 35
cos(325) = cos(360 - 35) = cos35

if only there was some way to convert the sin(235) to either cos or sin of 35

Answer 22

sin (270-35) = sin 235
thanks joe

Answer 23

sin(235)=sin(270-35) lol

Answer 24

i was gonna say that duke

Answer 25

LOL im tired as hell, thats it.

Answer 26

lol duke is awesome :)

Answer 27

i agree the answer is simple now
lol

Answer 28

so the answer is:
\[\frac{\sin(35)+\cos(35)}{\cos(35)} = \tan(35)+1 = 2a-1+1 = 2a\]
?
im walking into the middle of this, trying to catch up.

Answer 29

yeah i got the answer thanks all joe is right so we will have the answer like this :
sin 35+sin35/ cos 35 = tan(35)+1 so we have from the question that tan 35=2a-1
so we have:
2a-1+1= 2a

Answer 30

thank you joemath and myininaya

Answer 31

Dont forget duke!