tentukan nilai dari sin 45° x tan 60° + cos 45° x cot 60°

sin 45° × tan 60° + cos 45° × cot 60°
= √2/2 × √3 + √2/2 × √3/3
= √6/2 + √6/6
= 3√6/6 + √6/6
= (3√6 + √6) / 6
= 4√6 / 6
= ⅔√6

Mapel : Matematika
Kelas : X SMA
Bab : Trigonometri

Pembahasan :
Sin 45° x Tan 60° + Cos 45° x Cot 60°
= 1/2 √2 x √3 + 1/2 √2 x 1/3 √3
= 1/2 √6 + 1/6 √6
= 1/2√6 (1 + 1/3)
= 1/2 √6 (3/3 + 1/3)
= 1/2 √6 (4/3)
= 2/3 √6