Question

without using calculator find sec 36660
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Answer 1

Step-by-step explanation:

36660 = 3×12220 = 3×2×6110 = 3×2×13×470 = 3*2*13*2*5*47 = 60*13*47

sec 611(π/3) = 1/cos 611(π/3)

= 1/cos (600π/3 + 11π/3)

= 1/cos (200π + 11π/3)

= - 1/cos(11π/3)

= - 1/cos(9π + 2π)/3

= 1/cos2π/3

= 1/cos120°

= 1/cos(90° + 30°)

= - 1/sin 30°

= -2