Question

Express tan theta in the terms of cos theta

Answer 1

tanx = sinx/cosx
Or tanx=root of 1-cosx/cosx
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Answer 2

sec² theta - tan² theta = 1
tan² theta = sec² theta-1 = 1/cos² theta -1= 1-cos² theta /cos² theta
tan theta = √1- cos²theta/cos²theta(square root for whole)  =                            √1-cos²theta/cos theta(square root for only numerator).