Question

tan10, tan15, tan75, tan80, =?​

Answer 1

Answer:

tan10---0.1763

tan 15---0.2679

tan 75---3.732

tan80---5.671

Answer 2

Answer: 1

Explanation:

We know, tan A = cot (90 - A)

So,

tan10° tan15° tan75° tan80°

= cot(90° - 10°) tan80° × cot(90° - 15°) tan75°

= 1/tan(80°) × tan80° × 1/tan(75°) × tan75°

= 1

More:

If θ1 + θ2 = 90°,

then

1. tanθ1 . tanθ2 = 1 &
2. cotθ1 . cotθ2 = 1.

So, using this, you can easily deal with these questions.

(tan10° . tan80°) . (tan15° . tan75°)

= 1 × 1 = 1.