COMEDK2014MathematicsTrigonometric Ratios & Identities

The value of 330^ 420^ 300^ 135^ 210^ 315^ is equal to

Options

A1 2
B2
C1 3
D3

Correct answer

B. 2

Step-by-step solution

We have, 330^ 420^ 300^ 135^ 210^ 315^ = (360-30)^ (360+60)^ (360-60)^ (180-45)^ (180+30)^ (360-45)^ = - 30^ 60^ (- 60^ ) (- 45^ ) (- 30^ ) 45^ [ (2 - )=- , (2 )= (2 - )=- , ( + )=- ( - )=- ]= 1 2 3 2 3 2 1 2 = 2

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