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jhonyy9:
do you know this formula of
sin(x+y) = ?
sin(a+b) = sina cosb + cosa sinb
\[\sin y = \cos x = \frac{ \sqrt{2} }{ 2 }\]
sin and cos of what angle measure is equal \[\frac{ \sqrt{2} }{ 2 }\] ?
kekeman:
Ummmm not sure
jhonyy9:
look please
sin 30° = 1/2
sin 60° = sqrt3 / 2
sin of what angle measure will be between these value of 30 and 60 to get like result the (sqrt2) / 2 ?
jhonyy9:
@jhonyy9 wrote:
look please
sin 30° = 1/2 = pi / 6
sin 60° = sqrt3 / 2 = pi / 3
sin of what angle measure will be between these value of 30 and 60 to get like result the (sqrt2) / 2 ?
jhonyy9:
looke please on these answer choices ?
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kekeman:
Uhhhhh I'm thinking pi/3?
kekeman:
@jhonyy9 wrote:
looke please on these answer choices ?
what you say?
jhonyy9:
pi/3 = 180/3 = 60°
sin 60 = sqrt3 / 2 not sqrt2 /2
and cos 60 = 1/2 not sqrt2 /2
for what angle measure sin of this and cos of this are equal value ?
kekeman:
pi/6 = 30
kekeman:
cos30 is sqrt3 / 2
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kekeman:
sin30 is 1/2
kekeman:
@jhonyy9 wrote:
pi/3 = 180/3 = 60°
sin 60 = sqrt3 / 2 not sqrt2 /2
and cos 60 = 1/2 not sqrt2 /2
for what angle measure sin of this and cos of this are equal value ?
So it is neither pi/3 or pi/6
jhonyy9:
yes right
so what choice is there again ?
kekeman:
The choices are
pi over 2
pi over 3
pi over 4
pi over 6
jhonyy9:
pi/2 = 90°
not is right
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jhonyy9:
check the graph of sin and cos
kekeman:
pi/4 = 45*
kekeman:
cos45 i got sqrt2 /2
kekeman:
sin45 i also got sqrt2 /2
kekeman:
so it must be pi/4
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