Question

The value of tan 315° cot(– 405°) + cot 495° tan (– 585°).

विकल्प

• 2

• 4

• 6

• 5

Answer 1

2

Explanation:

tan(360° – 45°)[(– cot(360° + 45°)] + cot(360° + 135°) [– tan(360° + 225°)]

= – tan 45° (– cot 45°) + cot(135°) (– tan 225°)

= 1 – cot(90° + 45°) tan(180° + 45°)

= 1 + tan 45° tan 45°

= 1 + 1 × 1

= 2