Question

110 =1
IN
5T 77
tan tan tan tan
12. 12. 12.
110​

Answer 1

Step-by-step explanation:

π/12 = π/12 x 180/π = 15°

5π/12 = 5π/12 x 180/π = 75°

7π/12 = 7π/12 x 180/π = 105°

11π/12 = 11π/12 x 180/π = 165°

tan 15° . tan 75° . tan 105° . tan 165°

= tan 15°. cot (180° - 165°) . tan 75° . cot(180° - 105°)

= tan 15° . cot 15° . tan 75° . cot 75°

= tan 15° . 1/tan 15° . tan 75° . 1/tan 75°

= 1 . 1

= 1

Hence proved....

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