Evaluate
3cos55/7sin35-4/7(cos70cosec20)/(tan5tan25tan45tan65tan85)
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149
GIVEN
3cos55 / 7sin35 - 4/7(cos 70 cosec 20 ) / (tan5 tan25 tan45 tan65 tan85 )
USE
tan x = cot (90-x)
cot x = tan (90-x)
sin x = cos (90-x)
cos x = sin (90-x)
= [3 (cos55 / 7cos55)] - 4[(cos70 / sin20)] / 7 [tan5 tan25 tan45 tan65 tan85]
= (3 / 7) - 4 / 7(tan5 cot5 tan25 cot25 tan45)
= 3/7 - 4/7
= - 1 / 7
3cos55 / 7sin35 - 4/7(cos 70 cosec 20 ) / (tan5 tan25 tan45 tan65 tan85 )
USE
tan x = cot (90-x)
cot x = tan (90-x)
sin x = cos (90-x)
cos x = sin (90-x)
= [3 (cos55 / 7cos55)] - 4[(cos70 / sin20)] / 7 [tan5 tan25 tan45 tan65 tan85]
= (3 / 7) - 4 / 7(tan5 cot5 tan25 cot25 tan45)
= 3/7 - 4/7
= - 1 / 7
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