Question

What value of x satisfies cot (90° − x) = 1?

Answer 1

60°
135°
225°
315°

Answer 2

@saifoo.khan

Answer 3

@dan815

Answer 4

@iGreen

Answer 5

@Compassionate

Answer 6

Precalc

Answer 7

cotangent

Answer 8

degrees

Answer 9

Hint: cot = 1 / tan

Answer 10

?

Answer 11

\(\bf \textit{Cofunction Identities}
\\ \quad \\
sin\left(\frac{\pi}{2}-{\color{red}{ \theta}}\right)=cos({\color{red}{ \theta}})\qquad

cos\left(\frac{\pi}{2}-{\color{red}{ \theta}}\right)=sin({\color{red}{ \theta}})
\\ \quad \\ \quad \\

tan\left(\frac{\pi}{2}-{\color{red}{ \theta}}\right)=cot({\color{red}{ \theta}})\qquad

cot\left(\frac{\pi}{2}-{\color{red}{ \theta}}\right)=tan({\color{red}{ \theta}})

\\ \quad \\ \quad \\

cot(90^o-{\color{red}{ x}})=1\implies tan({\color{red}{ x}})\implies tan^{-1}[tan({\color{red}{ x}})]=tan^{-1}(1)
\\ \quad \\
{\color{red}{ x}}=tan^{-1}(1)\)

Answer 12

135?

Answer 13

well... .recall that tangent is really \(\bf tan(\theta)=\cfrac{opposite}{adjacent}
=\cfrac{y}{x}
=\cfrac{{\color{brown}{ sin}}(\theta)}{{\color{blue}{ cos}}(\theta)}\)

and 135 degree angle is in the 2nd Quadrant
on the 2nd quadrant "y" is positive, and "x" is negative

so y/x will mean -1 for a \(\bf tan(135^o\)

Answer 14

\(\bf tan(135^o)\) =)

Answer 15

so... is not 135

Answer 16

ok

Answer 17

225

Answer 18

thx

Answer 19

yw