SOLUTION: Find the exact value of tan theta if sec theta= 7/4

Question 756209: Find the exact value of tan theta if sec theta= 7/4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of tan theta if sec theta= 7/4

take sqrt of both sides
tan(x)=�√33/4
..
calculator check:
sec(x)=1/cos(x)=7/4
cos(x)=4/7
x≈55.15�, 304.85�
tan(x)=tan(55.15)≈1.4361..
exact value=√33/4≈1.4361..
or
tan(x)=tan(304.85�)≈-1.4361..
exact value=-√33/4≈-1.4361..
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