Question

$\dfrac1{\sin 40}-\dfrac{\sqrt3}{\cos 40}$ ifadesinin esitini bulunuz.

Answer 1

$$a=\frac{1}{sin40}-\frac{\sqrt3}{cos40}$$ olsun.

$$a=\frac{cos40-\sqrt3.sin40}{sin40.cos40}$$

$$a=\frac{cos40-\frac{sin60}{cos60}.sin40}{\frac{sin80}{2}}$$

$$a=\frac{cos40.cos60-sin60.sin40}{\frac{cos60.sin80}{2}}$$

$$a=4.\frac{cos(100)}{sin80}=-4\frac{cos(80)}{sin80}=-4cot80$$

Comments

Tesekkurler.saol

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Önemli değil siz de sağ olun.