Question
If tanĪø ā cotĪø = a and cosĪø + sinĪø = b, then
(b2 ā1)(a2 + 4) = ?Solution
Put Īø = 45Ā°
then, a = tanĪø ā cotĪø = 1 ā1 = 0
and, b = cosĪø + sinĪø
= 1/ā2 + 1/ā2 =ā2
Now, (b 2 ā1) (a 2 + 4) = (2 ā 1) (0 + 4) = 4
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