How do you find a numerical value of one trigonometric function of x given #tanx=1/4secx#?

Question

2103 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-12T11:23:45

#x=0.2526802551+2pin or x=2.888912398+2pin#

#tanx=1/4 secx#

#sinx/cosx=1/4 *1/cosx#

#sinx/cosx*cosx=1/4*1/cosx*cosx#

#sinx/cancelcosx*cancelcosx=1/4*1/cancelcosx*cancelcosx#

#sinx=1/4#

#x=sin^-1(1/4)#

#x=0.2526802551+2pin or x=(pi-0.2526802551)+2pin#

#x=0.2526802551+2pin or x=2.888912398+2pin#