obliczyć wartość wyrażenia Sapik:

	1		cos40*
−2√2sin10*(2 sin35* −		−		)
	2 cos5*		sin5*

M:

M:

Mariusz:

	1		cos(40)
−2√2sin(10)(2 sin(35) −		−		)
	2 cos(5)		sin(5)

	sin(5)		2cos(40)cos(5)
−2√2sin(10)(2 sin(35) −		−		)
	2 cos(5)sin(5)		2sin(5)cos(5)

	sin(5) + 2cos(40)cos(5)
−2√2sin(10)(2 sin(35) −		)
	2sin(5)cos(5)

	sin(5) + 2cos(40)cos(5)
−2√2sin(10)(2 sin(35) −		)
	sin(10)

	2 sin(35)sin(10) − sin(5) − 2cos(40)cos(5)
−2√2sin(10)(		)
	sin(10)

−2√2(2 sin(35)sin(10) − sin(5) − 2cos(40)cos(5)) cos(A − B) = cos(A)cos(B) + sin(A)sin(B) cos(A + B) = cos(A)cos(B) − sin(A)sin(B) cos(A − B) + cos(A + B) = 2cos(A)cos(B) cos(A − B) − cos(A + B) = 2sin(A)sin(B) −2√2(2 sin(35)sin(10) − sin(5) − 2cos(40)cos(5)) −2√2(cos(25) − cos(45) − sin(5) − cos(35) − cos(45)) −2√2(−√2 + cos(25) − sin(5) − cos(35)) −2√2(−√2 + cos(30−5) − sin(5) − cos(30+5))

	√3		1		√3		1
−2√2(−√2 +		cos(5)+		sin(5) − sin(5) −		cos(5)+		sin(5))
	2		2		2		2

=−2√2(−√2) =4