Using trigonometric ratios, tan a + cot a = (cos a + sin a) / sin a * cos a
<h3>Trigonometric Ratio</h3>
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trigonometric ratios are evaluated with respect to sides and angles.
In the question given, the trig ratio is
tan a + cot a
We can simplify this as
tan a = sin a / cos a
cot a = 1 / tan a = 1 / sin a / cos a = cos a / sin a
Adding both ratios together
tan a + cot a = (sin a / cos a) + (cos a / sin a)
tan a + cot a = (cos a + sin a) / sin a * cos a
Learn more on trigonometric ratio here;
brainly.com/question/23130410
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