(sec 17o/ cosec 73o) + (tan 68o/ cot 22o) + cos2 44o + cos2 46o
Solution:
Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence.
Given,
(sec 17o/ cosec 73o) + (tan 68o/ cot 22o) + cos2 44o + cos2 46o
= [sec 17o/ cosec (90o – 73o)] + [(tan 90o – 22o)/ cot 22o] + cos2 (90o – 44o) + cos2 46o
= [sec 17o/ sec 17o] + [cot 22o/ cot 22o] + [sin2 46o + cos2 46o]
= 1 + 1 + 1
= 3
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