What is expand (sec(B)-tan(B))^2 ?

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

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expand (sec(B)-tan(B))^2

expand

(sec (B) - tan (B))^{2}

sec^{2} (B) - 2 sec (B) tan (B) + tan^{2} (B)

Solution steps

(sec (B) - tan (B))^{2}

Apply Perfect Square Formula:

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

(sec (B) - tan (B))^{2} = sec^{2} (B) - 2 sec (B) tan (B) + tan^{2} (B)

= sec^{2} (B) - 2 sec (B) tan (B) + tan^{2} (B)

\frac{e ^{- 5 s} ( 2 s + 3 )}{s ( s ^{2} + 2 s + 5 )}

\frac{d}{d y} ((x (y)) (\frac{y ^{4}}{4} + \frac{1}{8 y ^{2}}))

m^{\frac{1}{3}} (m^{2} - 3 m)

\frac{d ^{2}}{d ^{2} x} (y^{4} + 3 y - 4 x^{3} = 5 x + 1)

(y^{2} - x^{2}) \frac{d y}{d x}

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