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True/False

1. 1 + tan2 θ = sec2 θ

2. The principal solution of tan x = 1 is \(\frac{\pi}{4}\) only.

3. The value of cos x is increase in θ ∈ (0, π / 4).

4. The value of tan 15° = \(\frac{\sqrt3 - 1}{\sqrt3+1}.\)

5. The value of sin 18° = √5 - 1.

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