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Mathematics 7 Online
OpenStudy (anonymous):

sin23 degree

OpenStudy (anonymous):

value of sin degree

OpenStudy (anonymous):

@midhun.madhu1987

OpenStudy (midhun.madhu1987):

I am not sure how it can be calculated without using calculator.... or we can have approximation... eg. sin 30 = 1/2 = 0.5 so sin 23 can be approximated to something around 0.42 etc... No ideas other than this... :(

OpenStudy (anonymous):

we can use formula sin^2x+cos^2x=1

OpenStudy (anonymous):

@ganeshie8

OpenStudy (mrnood):

are you trying to do this without a calculator? What is the topic you are studying ( e.g. trig identities?)

OpenStudy (anonymous):

yes

OpenStudy (mrnood):

I don't know a neat/quick way as 23 is a prime number and doesn't correspond to any multiples of standard angles. Here is a link to a very long way to do it for ANY integer angle: http://www.intmath.com/blog/how-do-you-find-exact-values-for-the-sine-of-all-angles/6212

OpenStudy (anonymous):

very lengthy way only

OpenStudy (anonymous):

can u do that

OpenStudy (crashonce):

you can do this

OpenStudy (crashonce):

\[\sin23 = \sin(90-67)\] =\[\cos67\]

OpenStudy (anonymous):

okay i try.all help me

OpenStudy (anonymous):

sin90cos67-cos90sin67

OpenStudy (crashonce):

sin90=1 cos90=0 so its the same as cos67

OpenStudy (anonymous):

1.cos67=?

OpenStudy (anonymous):

cos67=?

OpenStudy (crashonce):

i dont know but i found this on the internet: \[\cos67 = (\sin 23\Pi)/180\]

OpenStudy (crashonce):

which is basically sin 23 sorry

OpenStudy (mrnood):

sin is defined as the sum of a series BUT oyu need to get 23 deg in radians ( so you need a calculator!) The series is sin x = x -x^3/3! + x^5/5! - x^7/7!......... However you need a calculator for this - so not sure where the question leads you ...

OpenStudy (anonymous):

k.sin 27 degree

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