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5 sin(theta) - 7 cos(theta) = 0
5 sin(theta) = 7 cos(theta)
cos(theta) = 5 sin(theta)/7 ----------(1)
sec(theta) = 1/cos(theta)
sec(theta) = 1/ (5 sin(theta)/7)
∴ sec(theta) = 7/5 sin(theta)
Hope you understood.
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