Question

Evaluate 3 cos 80° Cosec 10° +2 Sin 59°sec 31°.​

Answer 1

Answer:

Step-by-step explanation:

3 cos 80°. cosec 10° + 2 cos 59° . cosec 31°

= 3cos(90°–10°). cosec 10° + 2 cos(90°– 31°) . cosec 31°

= 3 sin 10°. cosec 10° + 2 sin 31°. cosec 31°

= 3 + 2 = 5

[ ∵ cos (90°– θ) = sinθ ; sinθ . cosecθ = 1]

Answer 2

Answer:

5

Step-by-step explanation:

3 cos (90 - 10) x cosec 10 + 2 sin 59 x sec (90 - 59)

3 sin 10 x cosec 10 + 2 sin 59 x cosec 59                              (sin x cosec = 1)

3 + 2 = 5