cos^2 pi/8 + 4cos^2 pi/4 - sec pi/3 + 5tan^2 pi/3 + sin^2 pi/8
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Given : cos^2 pi/8 + 4cos^2 pi/4 - sec pi/3 + 5tan^2 pi/3 + sin^2 pi/8
To Find : Value
Solution:
cos² π/8 + 4cos² π/4 - sec π/3 + 5tan² π/3 + sin² π/8
= cos² π/8 + sin² π/8 + 4cos² π/4 - sec π/3 + 5tan² π/3
cos² π/8 + sin² π/8 = 1
= 1 + 4cos² π/4 - sec π/3 + 5tan² π/3
cos² π/4 = (1/√2)² = 1/2
sec π/3 = 2
tan² π/3 = (√3)² = 3
= 1 + 4(1/2) - 2 + 5(3)
= 1 + 2 - 2 + 15
= 16
cos² π/8 + 4cos² π/4 - sec π/3 + 5tan² π/3 + sin² π/8 = 16
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