Question

If a-b=45 show that (1+tana)(1-tanb)=2

Answer 1

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Question :-

If a-b=45 show that (1+tana)(1-tanb)=2

Solution:-

(1+tana)(1-tanb)=2

1+(tan a - tan b) = 2

1+ {(tan)a-b} = 2

1+{tan 45} = 2

• tan 45 = 1

1 + 1 = 2

2 = 2

.......hence verified

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