Question

find the derivative of sin(x+a)/ cos x ​

Answer 1

Answer:

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Answer 2

Answer:

Cos(a) / (Cos(x))^2

Step-by-step explanation:

sin(x+a) = Sin(a).Cos(x) + Cos(a).Sin(x)

Sin(x+a)/cos(x) = Sin(a) + Cos(a).Tan(x)

derivative = 0 + Cos(a).Sec^2(x)

or you can also write as Cos(a)/Cos^2(x)

or you can directly apply the numerator denominator derivative rule.

also here Cos^2(x) means Cos Square of X, that is

(Cos(x))^2