Evaluate the value of (cosec 56° cos 34° - cos 59° cosec 31°).

Question

Accepted Answer

Step 1: Recall that cosec θ = 1/sin θ.

Step 2: Rewrite the expression:
(cosec 56° cos 34° - cos 59° cosec 31°) = (cos 34° / sin 56°) - (cos 59° / sin 31°)

Step 3: Use complementary angle identities:
sin 56° = cos 34° (since 56° + 34° = 90°)
sin 31° = cos 59° (since 31° + 59° = 90°)

Step 4: Substitute these:
= (cos 34° / cos 34°) - (cos 59° / cos 59°)
= 1 - 1
= 0

Therefore, the value of the expression is 0.

Answer

Answer

Answer