SOLUTION: how do you solve sin^2 5pi/6+tan^2 pi/6

Algebra.Com
Question 845667: how do you solve sin^2 5pi/6+tan^2 pi/6
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve sin^2 5pi/6+tan^2 pi/6
--------
(sin[(5/6)pi]^2 + [tan(pi/6)]^2
--------
= (1/2)^2 + (1/sqrt(3))^2
----
= 1/4 + 1/3
----
= (3+4)/12
---
= 7/12
----------------
Cheers,
Stan H.
-----------------

RELATED QUESTIONS

Evaluate: cos(-5pi/9)tan(5pi/3)-sin(7pi/6)sec(pi/6) Please show steps Thank... (answered by lwsshak3)
Let csc θ = 19/6 , 0 < θ < pi/2 sinθ= 6/19 Find: cosθ, tanθ,... (answered by lwsshak3)
Evaluate each: a) 2sin30/3cos45 b) (sin210 - 2sin(5pi/4)/ cos150 c) (sin(-pi/4)) /... (answered by solver91311)
Given that z_1 = 4[cos (pi/3) + i sin (pi/3)] and z_2 = 2[cos (5pi/6) + i sin (5pi/6)] (answered by ikleyn)
how do i solve using one of the 6 sum/diff identities and not the calculator?... (answered by stanbon)
Oh God, Please Help I am so confused. Evaluate sin^2 pi/3+ cos^2 pi/6 - sin^2... (answered by eperette)
Please help with:z=2(cos5pi/6 + I sin 5pi/6) (answered by Fombitz)
If csc a = 2, which could be the measure of a? 1) pi/4 2)pi/3 3)5pi/6 4)3pi/2... (answered by Alan3354)
Find the values of Sin, Tan, Cos, Cot, Sec, and Csc for the argument. 1. 5pi/4 2.... (answered by addingup,MathTherapy,Alan3354)