Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Express as a function of a DIFFERENT angle, 
0^(@) <= theta < 360^(@).

tan(349^(@))

tan(◻^(@))

Express as a function of a DIFFERENT angle, 0^{\circ} \leq \theta<360^{\circ} .\newlinetan(349) \tan \left(349^{\circ}\right) \newlinetan() \tan \left(\square^{\circ}\right)

Full solution

Q. Express as a function of a DIFFERENT angle, 0θ<360 0^{\circ} \leq \theta<360^{\circ} .\newlinetan(349) \tan \left(349^{\circ}\right) \newlinetan() \tan \left(\square^{\circ}\right)
  1. Periodicity of Tangent Function: Understand the periodicity of the tangent function. The tangent function has a period of 180°180°, which means that tan(θ)=tan(θ+180°)\tan(\theta) = \tan(\theta + 180°). We can use this property to find an equivalent angle for 349°349° that is within the range of 0° to 360°360°.
  2. Find Equivalent Angle: Find an angle equivalent to 349°349° that is within the range of 0° to 360°360°.\newlineSince 349°349° is less than 360°360°, we can subtract 180°180° to find an equivalent angle within the desired range. So, we calculate 349°180°=169°349° - 180° = 169°.
  3. Express as Function: Express tan(349°)\tan(349°) as a function of the equivalent angle.\newlineUsing the equivalent angle found in Step 22, we can express tan(349°)\tan(349°) as tan(169°)\tan(169°).

More problems from Sin, cos, and tan of special angles