What is expand (1+sec(θ))^2 ?

The solution to expand (1+sec(θ))^2 is 1+2sec(θ)+sec^2(θ)

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expand (1+sec(θ))^2

expand

(1 + sec (θ))^{2}

1 + 2 sec (θ) + sec^{2} (θ)

Solution steps

(1 + sec (θ))^{2}

Apply Perfect Square Formula:

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

(1 + sec (θ))^{2} = 1^{2} + 2 \cdot 1 \cdot sec (θ) + sec^{2} (θ)

= 1^{2} + 2 \cdot 1 \cdot sec (θ) + sec^{2} (θ)

Simplify

1^{2} + 2 \cdot 1 \cdot sec (θ) + sec^{2} (θ) : 1 + 2 sec (θ) + sec^{2} (θ)

= 1 + 2 sec (θ) + sec^{2} (θ)

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What is expand (1+sec(θ))^2 ?
The solution to expand (1+sec(θ))^2 is 1+2sec(θ)+sec^2(θ)