Nilai sin 165 +cos 165 / tan 240 ​

Jawab:

sin(165)+ cos(165)/tan(240) = 0.974939

Penjelasan dengan langkah-langkah:

Jawaban:

Penjelasan dengan langkah-langkah:

Sin 165° + Cos 165° / Tan 240°

= Sin (180° – 15°) + Cos (180° – 15°) / Tan (270° – 30°)

= Sin 15° + (-Cos 15°) / Cotan 30°

= Sin (45° – 30°) – Cos (45 – 30°) / √3

= (Sin A Cos B – Cos A Sin B) – (Cos A Cos B – Sin A Sin B) / √3

= (Sin 45 Cos 30 – Cos 45 Sin 30) – (Cos 45 Cos 30 – Sin 45 Sin 30) / √3

= (1/2√2.1/2√3 – 1/2√2.1/2) – (1/2√2.1/2√3 – 1/2√2.1/2) / √3

= (1/4√6 – 1/4√2) – (1/4√6 – 1/4√2) / √3

= (1/4 (√6 – √2)) – (1/4 (√6 – √2)) / √3

= 0/√3

= 0