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Question Number 78887 by gopikrishnan last updated on 21/Jan/20

if teta=tan^(−1) (7) then sec teta is

$${if}\:{teta}=\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{7}\right)\:{then}\:\mathrm{sec}\:{teta}\:{is} \\ $$

Commented by jagoll last updated on 21/Jan/20

tan (θ) = 7  you need sec (θ)  sec (θ)= ±(√(1+tan^2 (θ)))

$$\mathrm{tan}\:\left(\theta\right)\:=\:\mathrm{7} \\ $$$$\mathrm{you}\:\mathrm{need}\:\mathrm{sec}\:\left(\theta\right) \\ $$$$\mathrm{sec}\:\left(\theta\right)=\:\pm\sqrt{\mathrm{1}+\mathrm{tan}\:^{\mathrm{2}} \left(\theta\right)} \\ $$

Commented by jagoll last updated on 21/Jan/20

sec (θ) = ± 5(√2)

$$\mathrm{sec}\:\left(\theta\right)\:=\:\pm\:\mathrm{5}\sqrt{\mathrm{2}} \\ $$

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