Trigonometric Equations

[Zeezrom]

tansquaredB=4


The problem asks for several degree numbers based off of this equation. I am supposed to be able solve this using the algebriac simplification process.

I have no idea how to start this process in relation to obtaining actual numbers such as 90 degrees. :?:

 

[masters]

tansquaredB=4


The problem asks for several degree numbers based off of this equation. I am supposed to be able solve this using the algebriac simplification process.

I have no idea how to start this process in relation to obtaining actual numbers such as 90 degrees. :?:

Hi Zeezrom,

Start this way.

\(\displaystyle \tan^2B=4\)

\(\displaystyle \tan^2B-4=0\)

\(\displaystyle (\tan B-2)(\tan B+2)=0\)

\(\displaystyle \tan B=2 \ \ or \ \ \tan B=-2\)

 

[Zeezrom]

Thank You So Much! What you did makes sense, and puts me back into algebra like it needs to

How do I go from here with the degrees part?

B=-tan 2

tan 2=125 degrees

Is this right :?:

 

[masters]

Thank You So Much! What you did makes sense, and puts me back into algebra like it needs to

How do I go from here with the degrees part?

B=-tan 2

tan 2=125 degrees

Is this right :?:

No.

Use the inverse Tan function (\(\displaystyle \tan^{-1}2=63.43^{\circ} \ \ and \ \ \tan^{-1}-2=116.57^{\circ}\)

 

[Zeezrom]

Thank You very Much!

I found out that those numbers are correct, as well as 243 and 297.

Thanks Again!