SOLUTION: given that cos 2a =11/61 and 0 deg<2a<45 deg, determine the exact values of sin a, cos a, tan a, csc a, sec a, and cot a.
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-> SOLUTION: given that cos 2a =11/61 and 0 deg<2a<45 deg, determine the exact values of sin a, cos a, tan a, csc a, sec a, and cot a.
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Question 1079025: given that cos 2a =11/61 and 0 deg<2a<45 deg, determine the exact values of sin a, cos a, tan a, csc a, sec a, and cot a. Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! Given: cos(2A) = 11/61
Using the trig identity cos(2A) = 1 - 2sin^2(A), we can solve for sin(A)
sin(A) = sqrt(50/122)
cos(2A) can also be written as cos(2A) = cos^2(A) - sin^2(A) -> 11/61 = cos^2(A) - 50/122
This gives cos(A) = sqrt(72/122)
tan(A) = sin(A)/cos(A) = sqrt(50/72)
I will leave it as an exercise to complete the rest.
