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# Popular Questions - Geometry

## How do you find the coterminal angle for ##(11pi) / 4##?

Any angle of the form ##(11pi)/4 + 2n pi## with ##n in ZZ## is coterminal with ##(11pi)/4## The coterminal angle of ##(11pi)/4## in ##[0, 2pi)## is ##(3pi)/4## Coterminal angles are angles which are...

## A chessboard contains 32 black and 32 white squares. How many squares are along each side of the game board?

##8## squares along each side of the game board. There are total ##32+32=64## squares and as chessboard is a square, it has ##sqrt64=8## squares along each side of the game board.

## How do you find the six trigonometric functions of 315 degrees?

Find 6 trig functions of (315) On the trig unit circle, sin (315) = sin (-45 + 360) = sin (-45) = – sin (45) Trig table gives -> ##sin 315 = -sin 45 = -(sqrt2)/2## cos 315 = cos (- 45) = cos...

## What is the reference angle for ##(14pi)/3##?

It is always possible to add, or subtract, ##2pi## to an angle to obtain an equivalent one. The symbol ##-=## in the following passages is not a real ##=##, but only an equivalent symbol....

## How do you simplify ##Sin(Cos^-1 x)##?

##sin(cos^(-1)(x)) = sqrt(1-x^2)## Let’s draw a right triangle with an angle of ##a = cos^(-1)(x)##. As we know ##cos(a) = x = x/1## we can label the adjacent leg as ##x## and the hypotenuse...

## How do you solve ##Cos 2 theta = cos theta##?

##theta=(2n+1)pi/2## or ##theta=2npi+-(2pi)/3##, where ##n## is an integer. ##cos2theta=costheta## or ##2cos^2theta-1=costheta## (using formula for ##cos2theta##) the above becomes...