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Q. 1. Let a, b, c be positive real numbers. Let
Then tan θ = _________
Ans. 0
Solution. Let a + b + c = u, then
[Using tan^{–1} (– x) = – tan^{–1} x] = π
∴ tan θ = tan π = 0
Q. 2. The numerical value of tan equal to _________
Ans. 7/17
Solution.
Q. 3. The greater of the two angles A = 2 tan ^{1} (2 √2  1) and B = 3 sin ^{1} (1/3) + sin ^{1} (3/5) is _________ .
Ans. A
Solution. We have
⇒ A > 2π /3 ... (1)
Also B = 3 sin^{–1} (1/3) + sin^{–1}(3/5)
⇒ B < 2π /3 ....(2)
From (1) and (2) we conclude A > B.
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