Question

if tan theta =1 then then find sec theta​

Answer 1

$\textbf{Given:}$

$tan\,\theta=1$

$\implies\bf\theta=45^{\circ}$

$\text{Now,}\;sec\,\theta$

$=sec\,45^{\circ}$

$=\displaystyle\frac{1}{cos\,45^{\circ}}$

$=\displaystyle\frac{1}{\frac{1}{\sqrt{2}}}$

$=\sqrt{2}$

$\therefore\boxed{\bf\,sec\,\theta=\sqrt{2}}$

Answer 2

value of secθ =√2

As , Given in the question

•tanθ = 1

on squaring we will get

•tan²θ = 1

Now we will Use identity ,

sec²θ = 1 + tan²θ

•sec²θ = 1 + 1

•sec²θ = 2

•secθ =√2

hence, we get value of secθ =√2