Question

Find the exact values of the 5 remaining trig functions for B.

Answer 1

Step-by-step explanation:

Given that

`sinB=(6)/(11)`

Where

`sinB=(opposite)/(hypotenuse)=(6)/(11)`

The next step will be to et the value of the adjacent

`adjacent=√(11^2-6^2)=√(121-36)=√(85)`

To find the exact values of other functions, we will have to use the

`cosB=(adjacent)/(hypotenuse)=(√(85))/(11)`
`tanB=(opposite)/(adjacent)=(6)/(√(85))`

Also

`cscB=(1)/(sinB)=(1)/((6)/(11))=(11)/(6)`

Then

`secB=(1)/(cosB)=(1)/((√(85))/(11))=(11)/(√(85))`

And finally

`cotB=(1)/(tanB)=(1)/((6)/(√(85)))=(√(85))/(6)`