Evaluate:- 2(cos 58 0 /sin 32 0 ) - root(3) (cos 38 0 cosec 52 0 / tan 15 0 tan 60 0 tan 75 0 )
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Step-by-step explanation:
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Step-by-step explanation:
2(cos58/sin32)-√3(cos38*cosec52/tan15*tan60*tan75)
= 2{cos58/sin(90-58)}-√3[{cos38*cosec(90-38)}/tan(90-75)*tan60*tan75]
= 2{cos58/cos58}-√3[cos38*sec38/cot75*tan60*tan75] (1/tanФ = cotФ)
= 2*1-√3[1/tan60]
= 2-√3(1/√3)
= 2-1
= 1
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