Latihan Sudut Rangkap Trigonometri 01

Soal 1

Jika \(\tan 40^{\circ} = \text{k}\), maka\(\dfrac{2\sin 20^{\circ} \cos 20^{\circ}}{2\:-\:4\cos^2 20^{\circ}} = \dotso\)

(A)  \(-\dfrac{1}{4}\text{k}\)

(B)  \(-\dfrac{1}{2}\text{k}\)

(C)  \(\dfrac{1}{2}\text{k}\)

(D)  \(\dfrac{1}{4}\text{k}\)

(E)  \(\dfrac{2}{5}\text{k}\)

 

Soal 2

\(\dfrac{1+ \sin 2x + \cos 2x}{-1\:-\:\sin 2x + \cos 2x} = \dotso\)

(A)  \(-2\cot x\)

(B)  \(-\cot x\)

(C)  \(\cot x\)

(D)  \(2\cot x\)

(E)  \(3\cot x\)

 

Soal 3

\(\cos 34^{\circ} + \sin 34^{\circ}\cdot \tan 17^{\circ} = \dotso\)

(A)   1

(B)   2

(C)   3

(D)   4

(E)   5

 

Soal 4

\(2\sin 18^{\circ} \cos 36^{\circ} = \dotso\)

(A)  \(\dfrac{1}{16}\)

(B)  \(\dfrac{1}{12}\)

(C)  \(\dfrac{1}{8}\)

(D)  \(\dfrac{1}{4}\)

(E)  \(\dfrac{1}{2}\)