Question

Trigonometry, I also need help with this, 66 points because why not?

Answer 1

`\cot(\theta)=√(2)`

`\implies (1)/(\tan(\theta))=√(2)`

`\implies \tan(\theta)=(1)/(√(2))`

`\implies \theta=35.26438968...\textdegree \pm180\textdegree n`

`\implies \theta=215.26438968...\textdegree`

⇒ Opposite side to angle = 1, Adjacent side to angle = √2

⇒ Hypotenuse = √(1² + √2²) = √3

`\implies \cos(\theta)=(A)/(H)=-(√(2))/(√(3))=-(√(6))/(3)`

`\implies \sin(\theta)=(O)/(H)=-(1)/(√(3) )=-(√(3))/(3 )`

`\implies \tan(\theta)=(O)/(A)=(1)/(√(2)) = (√(2))/(2)`