What is expand (tan(x)+sec(x))^2 ?

The solution to expand (tan(x)+sec(x))^2 is tan^2(x)+2sec(x)tan(x)+sec^2(x)

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expand (tan(x)+sec(x))^2

expand

(tan (x) + sec (x))^{2}

tan^{2} (x) + 2 sec (x) tan (x) + sec^{2} (x)

Solution steps

(tan (x) + sec (x))^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(tan (x) + sec (x))^{2} = tan^{2} (x) + 2 tan (x) sec (x) + sec^{2} (x)

= tan^{2} (x) + 2 tan (x) sec (x) + sec^{2} (x)

= tan^{2} (x) + 2 sec (x) tan (x) + sec^{2} (x)

\frac{x ^{2} ( - x ^{2} + 4 )}{2}

2 (3 - 5)

(a x^{2} + b x + c) (d x^{2} + e x + f)

(1 + \frac{x}{2})^{10}

(2 - i)^{5}

What is expand (tan(x)+sec(x))^2 ?
The solution to expand (tan(x)+sec(x))^2 is tan^2(x)+2sec(x)tan(x)+sec^2(x)