If θ = 1 π 6 , then find exact values for the following: sec ( θ ) equals csc ( θ ) equals tan ( θ ) equals cot ( θ ) equals Add Work

Answer 1

Hi Ty ,

theta = 1 π 6 looks weird. Is it -1π/6 ?

is it 11π/6? Please check the problem. After that may be your question is for the "given value" of theta find the exact values for the following:

sec (theta) =

csc(theta)=

tan (theta) =

cot (theta) =

Let me assume that θ = 11π/6 to help you understand a similar problem.

Here is one approach to help you get started.

Let us convert the angle measure from radians to degrees.

So, θ = (11π/6) x (180/π) =11(30)= 330°, in Quadrant IV. This is the same as -30° or (-π/6)

radians.

Please look at the unit circle and you will know the value of tan(-π/6)=-√3.

cot (11π/6) is the reciprocal of tan (11π/6). What is the reciprocal of -√3 ?

What is the reciprocal trig function of sec(θ)?

How about the reciprocal trig function of csc(θ)?

Use those ideas ; look at the unit circle to figure out the value and the sign.

I sincerely hope you will look at your question again for the correct value of θ and make progress in answering the question completely.

If you need further assistance, please send me a wyzant message and i will be glad to tutor you.