urgent!if x satifies the equation sinx+cosx =√2,find the value of tan (x/2)
urgent!if x satifies the equation sinx+cosx =√2,find the value of tan (x/2)
with process
with process
其他人氣：157 ℃時(shí)間：2020-04-16 16:23:07
優(yōu)質(zhì)解答
sinx + cosx =√2 = √2·sin[x + (π/4)],∴sin[x + (π/4)] = 1,∴x + (π/4) = 2kπ + (π/2),k∈Z∴x/2 = kπ + (π/8),而tan(x/2) = tan[kπ + (π/8)] = tan(π/8)>0∵1 = tan(π/4) = 2tan(π/8)/{1 - [tan(...
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