Someone explain this to me. Math Destroyer Test 3, #24

[cmF]

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So I haven't taken trigonometry in 7 years and having trouble figuring out why my initial answer of E is wrong. I agree with the solution manual that D is correct but can't E also be correct? Thanks in advance for the input!

 

[KyoPhan]

I agree, E should also be correct.

Edit: Punching into calculator also gave same answer.

 

[cmF]

I agree, E should also be correct.

Edit: Punching into calculator also gave same answer.

Thanks for double checking my work. Whenever I'm scratching my head, I can always count on these forums

 

[getsome111]

you did adj/opp, tan is defined by opp/adj, which is why the answer is cot