Given $sec θ = 5$ $sectheta=5$ and $tan θ = 2 \sqrt{6}$ $tantheta=2sqrt6$ , how do you find $cos θ$ $costheta$ ?

Question

Given $sec θ = 5$ $sectheta=5$ and $tan θ = 2 \sqrt{6}$ $tantheta=2sqrt6$ , how do you find $cos θ$ $costheta$ ?

1 Answer

Impact of this question

2065 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-03T01:43:01

$\frac{1}{5}$ $1/5$

Explanation:

Use trig identity:
1/(cos^2 a) = sec^2 a
${cos}^{2} t = \frac{1}{{sec}^{2} t} = \frac{1}{25}$ $cos^2 t = 1/(sec^2 t) = 1/ 25$
$cos t = \frac{1}{5}$ $cos t = 1/5$

Science

Math

Humanities

... and beyond

Given $sec θ = 5$ $sectheta=5$ and $tan θ = 2 \sqrt{6}$ $tantheta=2sqrt6$ , how do you find $cos θ$ $costheta$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Given sectheta=5secθ=5sectheta=5 and tantheta=2sqrt6tanθ=2√6tantheta=2sqrt6, how do you find costhetacosθcostheta?

1 Answer

Explanation:

Related questions

Impact of this question

Given $sec θ = 5$ $sectheta=5$ and $tan θ = 2 \sqrt{6}$ $tantheta=2sqrt6$ , how do you find $cos θ$ $costheta$ ?