If sinx = 3/5, 0 ≤ x ≤ 90o, then the value of cotx.secx is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 5/3.
| Understanding/Application |
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sinx = 3/5, 0 ≤ x ≤ 900 sin2x + cos2x = 1 cos2x = 1 - (3/5)2 cos2x = 1 - 9/25 = 16/25 cosx = 4/5 cotx = cosx/sinx = (4/5)/(3/5) = 4/3 secx = 1/cosx = 5/4 |
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cotx.secx = 4/3 × 5/4 = 5/3 |