7. If cos X=a/b, then sin X is equal to: (a)b2-a2/b (b)b-a/b (c)√(b2-a2)/b (d)√(b-a)/b
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7. If cos X=a/b, then sin X is equal to:
(a)b2-a2/b
(b)b-a/b
(c)√(b2-a2)/b
(d)√(b-a)/b
Answer: (c)
Explanation: cos X=a/b
By trigonometry identities, we know that:
sin2X+cos2X=1
sin2X=1-cos2X = 1-(a/b)2
Sin X=√(b2-a2)/b
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