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let theta =x (for understandable equation)
now given
tanx • tan40 =1
so we can say
tanx•cot60=1 (tan40=cot60)
tanx=1/cot60
tanx=1/1/√3 ( cot60= 1/√3)
tanx=√3
but tan60=√3
hence
x=60 value of theta is 60°
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