Question

Cosx=5/8

Answer 1

Answer:

All the trigonometric ratios are mentioned and the value of x = 51.32°

Step-by-step explanation:

we are given the value of cosx = $\frac{5}{8}$

We have to find all the other 5 trigonometric values.

sinx = $\sqrt{1-cos^{2}x }$ = $\sqrt{1-(\frac{5}{8})^{2} }$

       = $\sqrt{\frac{39}{64}} = \frac{\sqrt{39}}{8}$

tanx = $\frac{sinx}{cosx}$ = $\frac{\sqrt{39} }{5}$

cosecx = $\frac{8}{\sqrt{39} }$

secx = $\frac{8}{5}$

cotx = $\frac{1}{tanx}$ = $\frac{5}{\sqrt{39} }$

These are the values of the trigonometric functions.

cosx = $\frac{5}{8}$

x = $cos^{-1} \frac{5}{8}$

x = 51.32°

The other acute angle = 90 - 51.32 = 38.68°