How to evaluate sin (pi/4) cos (pi/6) - sin (pi/6) cos (pi/4)?

popadaliikp

popadaliikp

Answered question

2023-02-02

How to evaluate sin ( π 4 ) cos ( π 6 ) - sin ( π 6 ) cos ( π 4 ) ?

Answer & Explanation

rocairasen

rocairasen

Beginner2023-02-03Added 7 answers

By using degrees and the substitution π = 180 o , I believe this is the easiest approach to go about it.
Thus,
sin ( π 4 ) = sin ( 45 ) = 2 2
cos ( π 6 ) = cos ( 30 ) = 3 2
sin ( π 6 ) = sin ( 30 ) = 1 2
cos ( π 4 ) = cos ( 45 ) = 2 2
When you factor these into the initial equation, you get
2 2 3 2 - 1 2 2 2
Rearranging these become
2 2 ( 3 - 1 2 ) = 6 - 2 4
Using a calculator or a savant will get you this in decimal form
0.26

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