Question

find the value of cos 17π/2​

Answer 1

Answer:

0.893

Step-by-step explanation:

$\cos(17 \frac{\pi}{2} )$

$\cos(17 \times \frac{22}{7} \times \frac{1}{2} )$

$\cos( \frac{187}{7} )$

$\cos(26.71)$

$0.893$

Answer 2

Step-by-step explanation:

$\sf\large\underline\purple{Solution:-}$

$\sf \displaystyle \bigstar \sf \: first \: convert \: \cos\frac{17\pi}{2} \: into \: degrees \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \displaystyle \bigstar \sf \: to \: covert \: into \: degrees \: multiply \: with \: \frac{180}{\pi}$

$\displaystyle \sf \longrightarrow \: \frac{17\pi}{2} = \frac{17\pi}{2} \times \frac{180}{\pi} \\ \\ \displaystyle \sf \longrightarrow\frac{17\pi}{2} = 1530 \degree \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \bigstar \: \: \boxed{ \underline{ \boxed{ \bold{cos \: 1530 \degree}}}}$

__________________________________________________

$\displaystyle \sf \bigstar \: \: \: 2nd : -$

__________________________________________________

$\displaystyle \sf \longrightarrow \: \cos(1530 \degree) = \cos(90 \times 17 + 0 \degree) \\ \\ \displaystyle \sf \longrightarrow \: \cos(1530 \degree) \: = \sin(0 \degree) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \: \cos(1530 \degree) \: = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$