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sin a = x
cos a = y
csc a - sec a = √13 /6
(1/x - 1/y)² = 13/36
1/x² + 1/y² - 2/xy = 13/36
(y² + x²)/(xy)² - 2/xy - 13/36
(1/xy)² - 2/xy - 13/36 = 0
36p² - 72p - 13 = 0
(6p - 13)(6p + 1) = 0
yg memenuhi → p = 13/6
1/xy = 13/6
xy = 6/13
sin x cos x = 6/13
sin 2x = 12/13
cos 2x = 5/13
cot a - tan a
= y/x - x/y
= (y² - x²)/xy
= cos 2x / sin x cos x
= (5/13) / (6/13)
= 5/6
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•
sin a = x
cos a = y
csc a - sec a = √13 /6
(1/x - 1/y)² = 13/36
1/x² + 1/y² - 2/xy = 13/36
(y² + x²)/(xy)² - 2/xy - 13/36
(1/xy)² - 2/xy - 13/36 = 0
36p² - 72p - 13 = 0
(6p - 13)(6p + 1) = 0
yg memenuhi → p = 13/6
1/xy = 13/6
xy = 6/13
sin x cos x = 6/13
sin 2x = 12/13
cos 2x = 5/13
cot a - tan a
= y/x - x/y
= (y² - x²)/xy
= cos 2x / sin x cos x
= (5/13) / (6/13)
= 5/6