Question #e5c29

1 Answer
Jayden N.
Aug 11, 2017

#1/sqrt(2)#

Explanation:

#tanx + cotx = 2#

#tanx + 1/tanx = 2#

#tan^2x/(tanx) + 1/tanx = 2#

#(tan^2x + 1)/(tanx) = 2#

#tan^2x + 1 = 2tanx#

#tan^2x - 2tanx + 1 = 0#

let #a = tanx#

#a^2 - 2a + 1 = 0#

#(a-1)^2 = 0#

#a - 1 = 0#

#tanx - 1 = 0#

#tanx = 1#

#x = tan^-1(1) #

#x = 45# degrees.

#sinx#

#= sin45#

#= 1/sqrt(2)#

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