त्रिकोणमितीय तालिका का प्रयोग किये बिना ...

त्रिकोणमितीय तालिका का प्रयोग किये बिना निम्न का मान ज्ञात कीजिए-

`(-tan thetacos (90^(@)-theta)+sec thetacosec (90^(@)-theta)+sin^(2)35^(@)+sin ^(2)55^(@))/(tan 10^(@)tan20^(@)tan 30^(@)tan 70^(@)tan 80^(@))`

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tan theta+tan(90^(@)-theta)=sec theta xx sec(90^(@)-theta)

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tan10^(@) tan 20^(@) tan 30^(@) tan 40^(@) tan 50^(@) tan 60^(@) tan 70^(@) tan 80^(@)=

tan 10^(@)*tan20^(@)*tan30^(@)*tan40^(@)*tan50^(@)*tan60^@tan70^(@)*tan80^(@)=

The value of cottheta.tan(90^(@)-theta)-sec(90^(@)-theta)cosectheta+(sin^(2)25^(@)+sin^(2)65^(@)) is

Evaluate: (secthetacos e c(90^0-theta)-tanthetacot(90^0-theta)+sin^2 55^0+sin^2 35^0)/(tan10^0tan20^0tan60^0tan70^0tan80^0)

The value of cot theta.tan (90^@ -theta)-sec(90^@ - theta) cosec theta+ (sin^2 25^@+sin^2 65^@) +sqrt3(tan 5^@ tan15^@.tan30^@.tan75^@.tan85^@) is