Question

If tan 0 = 1, the value of 5sin0 + 4cos0 / 5sin0 - 4cos0 is:

Answer 1

if tan 0=1 then 0=45°
5sin45°+4cos45°/5sin45°-4cos45°
5(1/√2)+{4(1/√2)/5(1/√2)}-4(1/√2)
5/√2 + 4/5 - 4/√2
1/√2 + 4/5
on taking LCM;this becomes
_____________
(5+4√2) / (5√2)
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