Mathematics, 12.10.2019 03:50 angelvega2003
Suppose that - π/2 ≤ θ ≤ π/2 and that tan(θ) = 0.1. determine value of sec(θ)
Answers: 3
![\bf \textit{Pythagorean Identities} \\ \quad \\ sin^2(\theta)+cos^2(\theta)=1 \\ \quad \\ 1+cot^2(\theta)=csc^2(\theta) \\ \quad \\ \boxed{1+tan^2(\theta)=sec^2(\theta)}\\\\ -----------------------------\\\\ \pm \sqrt{1+[tan(\theta)]^2}=sec(\theta)\qquad tan(\theta)=0.1 \\\\\\ \pm \sqrt{1+[0.1]^2}=sec(\theta)](/tpl/images/0312/1528/73d8c.png)
![\bf \sqrt{1+[0.1]^2}=sec(\theta)\implies \sqrt{1+0.01}=sec(\theta) \\\\\\ \sqrt{1.01}=sec(\theta)](/tpl/images/0312/1528/09eb9.png)
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Suppose that - π/2 ≤ θ ≤ π/2 and that tan(θ) = 0.1. determine value of sec(θ)...
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