The given expression 1-tan(a) is simplified as (cos(a)-sin(a))/cos(a).
The given trigonometric expression is 1-tan(a).
The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
We know that, tanθ=sinθ/cosθ
Now, 1-tan(a) =1-sin(a)/cos(a)
= (cos(a)-sin(a))/cos(a)
Therefore, the given expression 1-tan(a) is simplified as (cos(a)-sin(a))/cos(a).
Learn more about the trigonometric ratios here:
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