Find the value of 3(\(\frac{sin 35°}{cos 55°}\))2 + 2(\(\frac{cos 55°}{sin 35°}\))2
Answer & explanation
Correct answer: option 3
3(\(\frac{sin 35°}{cos 55°}\))2 + 2(\(\frac{cos 55°}{sin 35°}\))2
⇒ 3(\(\frac{sin 35°}{sin (90°-35°)}\))2 + 2(\(\frac{cos 55°}{cos (90°-55°)}\))2
⇒ 3(\(\frac{sin 35°}{sin 35°}\))2 + 2(\(\frac{cos 55°}{cos 55°}\))2
⇒ 3 + 2 = 5