What is expand (tan(θ)+sec(θ))^2 ?

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

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expand (tan(θ)+sec(θ))^2

expand

(tan (θ) + sec (θ))^{2}

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

Solution steps

(tan (θ) + sec (θ))^{2}

Apply Perfect Square Formula:

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

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

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

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

- \frac{2 ( x ^{2} - 5 x + 3 )}{ln ( 5 ) ( 2 x - 1 ) ( x + 1 ) ( x - 1 )}

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

- sin (x) (1 + tan (x))

- 1.5 (cos (0.25 t^{2}) - 0.5 t^{2} sin (0.25 t^{2}))

\frac{( a + bi ) ^{6}}{( a - bi ) ^{2}}

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