express secent theta in terms of some theta
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Answer:
The required expression is tan √1 - sec²0
Step-by-step explanation:
To express : tan in terms of sec 0 ?
Solution :
Using trigonometric identities,
sec^2 theta - tan^2 theta = 1
Arrange, tan in terms of sec 0 tan^2 theta = 1 - sec^2 theta
Taking root both side,
sqrt(tan^2 theta) = sqrt(1 - sec^2 theta)
tan theta = sqrt(1 - sec^2 theta)
Therefore, The required expression is tan theta = sqrt(1 - sec^2 theta)
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