Hitunglah: a. sin 60° tan 45° + cosec 30° cos 60°

Hitunglah:

1. sin 60° tan 45° + cosec 30° cos 60°
2. b. sec 45° tan 60° (cos 30° + sin 45°)
3. c. sin 30° + tan 45° + cos 60° / cosec 30° cotan 45°

A) Sin 60° Tan 45° + Cosec 30° Cos 60°

$$\begin{array}{l}\sin 60°·\tan 45°+\mathrm{cosec}30°·\cos 60°\\ =\frac{\sqrt{3}}{2}·1+2·\frac{1}{2}\\ =1+\frac{\sqrt{3}}{2}\end{array}$$

B) Sec 45° Tan 60° (cos 30° + Sin 45°)

$$\begin{array}{l}\sec 45°·\tan 60°·\left(\cos 30°+\sin 45°\right)\\ =\sqrt{2}·\sqrt{3}·\left(\frac{\sqrt{3}}{2}+\frac{\sqrt{2}}{2}\right)\\ =\frac{3\sqrt{2}+2\sqrt{3}}{2}\end{array}$$

C) Sin 30° + Tan 45° + (cos 60°) / (cosec 30° Cotan 45°)

$$\begin{array}{l}\sin 30°+\tan 45°+\frac{\cos 60°}{\mathrm{cosec}30°·\mathrm{cotan}45°}\\ =\frac{1}{2}+1+\frac{\frac{1}{2}}{2·1}\\ =\frac{7}{4}\end{array}$$