if a sin A = 5 and cosec A = 6 sec A, then the value of a is (a is alpha and A is the angle)
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the correct answer is 46/7
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Given : a sin A = 5
cosec A = 6 sec A
To find : a
Solution:
cosec A = 6 sec A
=> 1/sinA = 6/cosA
=> cosA = 6sinA
Squaring both sides
=> cos²A = 36sin²A
=> 1 - sin²A = 36Sin²A
=> 37sin²A = 1
=> SinA = 1/√37
a sin A = 5
=> a (1/√37) = 5
=> a = 5√37
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