A geometry problem by Anmol Singh

Geometry Level 4

arccot ( cos ⁡ x ) − arctan ⁡ ( cos ⁡ x ) \large \text{arccot}( \sqrt{ \cos x} ) - \arctan(\sqrt{\cos x} )

Let ∣ x ∣ < π 4 |x| < \dfrac \pi4 . Simplify the trigonometric expression above.

None of these choices tan ⁡ x 2 \tan \frac x2 sin ⁡ x cos ⁡ ( arccot ( cos ⁡ x ) − arctan ⁡ ( cos ⁡ x ) ) \sin x \cos ( \text{arccot} ( \sqrt{ \cos x} ) - \arctan(\sqrt{\cos x} )) tan ⁡ 2 x 2 \tan^2 \frac x2

Anmol Singh by Anmol Singh , 21, India

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1 solution

Ahmad Saad
Jun 6, 2016

2 Helpful 0 Interesting 0 Brilliant 0 Confused

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