sin2 34o + sin2 56o + 2 tan18o tan 72o – cot2 30o
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.
sin2 34o + sin2 56o + 2 tan18o tan 72o – cot2 30o
= sin2 34o + sin2 (90o – 34o) + 2 tan18o tan (90o – 18o) – cot2 30o
= [sin2 34o + cos2 34o] + 2 tan18o cot 18o – cot2 30o
= 1 + 2 x 1 – (√3)2
= 1 + 2 – 3
= 0
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