Latihan Matematika Wajib Kelas X Rasio Trigonometri
# 7
Pilgan

Nilai dari sin⁡60°32+sin⁡30°=....\frac{\sin60\degree}{\frac{3}{2}+\sin30\degree}=....

A

143\frac{1}{4}\sqrt{3}

B

133\frac{1}{3}\sqrt{3}

C

142\frac{1}{4}\sqrt{2}

D

132\frac{1}{3}\sqrt{2}

E

122\frac{1}{2}\sqrt{2}

Pembahasan:

Karena sin⁡60°=123\sin60\degree=\frac{1}{2}\sqrt{3} dan sin⁡30°=12\sin30\degree=\frac{1}{2} , maka

sin⁡60°32+sin⁡30°=12332+12\frac{\sin60\degree}{\frac{3}{2}+\sin30\degree}=\frac{\frac{1}{2}\sqrt{3}}{\frac{3}{2}+\frac{1}{2}}

=1232=\frac{\frac{1}{2}\sqrt{3}}{2}

=123×12=\frac{1}{2}\sqrt{3}\times\frac{1}{2}

=143=\frac{1}{4}\sqrt{3}

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