Answer:
sec 0 = 5/(2√6)
Explanation:
sin 0 = -1/5
Fourth quadrant Cos positive Rest negative
cos²0 + sin²0 = 1
cos²0 = 1-sin²0
cos²0 = 1 - (1/5)²
cos²0 = 1- 1/25
cos²0 = 24/25
cos0 = ±(2√6)/5
quadrant IV cos is positive.
Therefore cos0 = (2√6)/5
Now, sec0 = 1/cos0
sec0 = 1/{(2√6)/5)}
sec0 = 5/(2√6)
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Hope it helps