prove that sin²56°-cos²34°=0
Answers
Answered by
5
hey your ans is here
_____
given
sin^2 56°-cos^2 34°=0
to prove it
now
we know
that sin(90-a)=cosa
here a is any number
so
sin2(90-56)-cos2 34
cos2 34 -cos2 34=0
______
_____
given
sin^2 56°-cos^2 34°=0
to prove it
now
we know
that sin(90-a)=cosa
here a is any number
so
sin2(90-56)-cos2 34
cos2 34 -cos2 34=0
______
paakhee:
thank you so much
Answered by
4
Heya!!
Here is your answer
=======================
R.T.P :-
![{ sin }^{2} 56 - {cos}^{2} 34 = 0 { sin }^{2} 56 - {cos}^{2} 34 = 0](https://tex.z-dn.net/?f=+%7B+sin+%7D%5E%7B2%7D+56+-+%7Bcos%7D%5E%7B2%7D+34+%3D+0)
Using the identity :-
cos (90-ø ) = sin ø
→ cos^2 34 can be written as cos^2 (90-56) = sin^2 56
![{sin}^{2} 56 - {sin}^{2} 56 \\ \\ 56 - 56 = 0 {sin}^{2} 56 - {sin}^{2} 56 \\ \\ 56 - 56 = 0](https://tex.z-dn.net/?f=+%7Bsin%7D%5E%7B2%7D+56+-+%7Bsin%7D%5E%7B2%7D+56+%5C%5C+%5C%5C+56+-+56+%3D+0)
Hence proved
=========================
Glad if helped !!
Here is your answer
=======================
R.T.P :-
Using the identity :-
cos (90-ø ) = sin ø
→ cos^2 34 can be written as cos^2 (90-56) = sin^2 56
Hence proved
=========================
Glad if helped !!
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