(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find tan(theta) if sin (theta/2) = 3/5

2. Relevant equations

sin(theta/2) = sqrt[(1-cosx)/2]

3. The attempt at a solution

my attempt:

first since we know the half angle formula for sin, let sqrt[(1-cosx)/2] = 3/5

simplifying the equation, we get that cos(Theta) = 7/25 which is adjacent/hypothenus.

using this, we can calculate the value of opposite using pythagoras theorum. which is 24 in this case. since tan = sin/cos and sin = 24/25 and cos = 7/25

tan(Theta) = sin/cos which is 7/24

is this the most correct approach to take from what the question is asking?

please i would like to know if this will earn me full marks on a test or exam.

Thanks,

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# Homework Help: Half Angle Application

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