Find the exact value by using a half-angle identity.

tangent of seven pi divided by eight

tan (7pi/8)

show step by step

-sqrt((1-(sqrt(2)/2)/1+(sqrt(2)/2))

Step-by-step explanation:

tan (7pi/8) = tan (7pi/4/2)

Which equals...

-sqrt((1-cos((7pi/4))/1+cos((7pi/4))

And just simplify into...

-sqrt((1-(sqrt(2)/2)/1+(sqrt(2)/2))

The exact form of is

Step-by-step explanation:

We need to find the exact value of using half angle identity.

Since,  is not an angle where the values of the six trigonometric functions are known, try using half-angle identities.

 is not an exact angle.

First, rewrite the angle as the product of and an angle where the values of the six trigonometric functions are known. In this case,

can be written as ;

Use the half-angle identity for tangent to simplify the expression. The formula states that

Simplify the numerator.

Simplify the denominator.

Multiply the numerator by the reciprocal of the denominator.

cancel the common factor of 2.

Simplify,

simplify terms,

Therefore, the exact form of 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)

first one because it can't have a fraction in it

step-by-step explanation: