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Mathematics 7 Online
kekeman:

Math: https://snipboard.io/d3YP2C.jpg

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 ?

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

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

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

jhonyy9:

perfect

kekeman:

thanks for the help!

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