Question

16.
15. साबित करें कि (Prove that) tan20° tan40° tan60° tan80° = 3
[I. I.T.74]
[Hint : sin20° sin40° sin60° sin80° और cos20° cos40° cos60° cos80°
का मान निकालें और भाग दें]​

Answer 1

Answer:

tan20*tan40*tan60*tan80 can be written as,

tan(20)*tan(60-20)*tan(60+20)*tan(60)

LHS =tan(3×20)*tan(60)

[Using the formula, tan(x)*tan(60-x)*tan(60+x) = tan(3x)]

=tan(60)*tan(60)

=sq.root(3)* sq.root(3)

=3

Step-by-step explanation:

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