if sec theta = 25 by 7. find tan theta, cos theta, sin theta, cosec theta
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Given sec(θ) = 25/7, we can find the other trigonometric functions as follows:
tan(θ) = sin(θ) / cos(θ) = (1 / sec(θ)) = 7/25
cos(θ) = 1 / sec(θ) = 7/25
sin(θ) = cos(θ) * tan(θ) = 7/25 * 25/7 = 7/7 = 1
cosec(θ) = 1 / sin(θ) = 1 / 1 = 1
So, the values of the trigonometric functions for the given angle are:
tan(θ) = 7/25
cos(θ) = 7/25
sin(θ) = 1
cosec(θ) = 1
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