1.

64. The value of (tan 5° tan 10° tan 15°...tan 85°) is

Answer»

Tan 5° tan 10° tan 15° ................. tan 75° tan 80° tan 85°______________________________________________________

= tan 5° tan 10° tan 15°.................tan(90-15)° tan(90-10)° tan(90-5)°

= tan 5° tan 10° tan 15° ................cot 15° cot 10° cot 5°

As tanΘ × cotΘ = 1

Then,

= 1_______________



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