Solve the equation for all real values of x.
cosxtanx - 2 cos^2 x=-1

Solution to equation for all real values of x is   .

Step-by-step explanation:

Here we have , . Let's solve :

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By quadratic formula :

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But at we have equation undefined as . Hence only solution is :

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Since ,

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Now , General Solution is given by :

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Therefore , Solution to equation for all real values of x is   .

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)