Question

I need help because i can’t seem to understand it

Answer 1

Answer:

sinA = 0.37

cosA = 0.93

tanA = 0.40

secA = 1.08

cscA = 2.69

cot A = 2.50

Step-by-step explanation:

Given that a = 4, b = 10. To obtain c, we use the Pythagorean theorem:

`\begin{gathered} c^2=a^2+b^2 \\ =4^2+10^2 \\ =116 \\ c=√(116)=10.77 \end{gathered}`

Now

`\begin{gathered} \sin A=(Opposite)/(hypotenuse)=(a)/(c) \\ \\ =(4)/(10.77)=0.37 \end{gathered}`
`\begin{gathered} \cos A=(adj)/(hyp)=(b)/(c) \\ \\ =(10)/(10.77)=0.93 \end{gathered}`
`\begin{gathered} \tan A=(opp)/(adj)=(a)/(b) \\ \\ =(4)/(10)=0.40 \end{gathered}`
`secA=(1)/(cosA)=(10.77)/(10)=1.08`
`cscA=(1)/(sinA)=(10.77)/(4)=2.69`
`cotA=(1)/(tanA)=(10)/(4)=2.50`