find sin theta and  theta if tangent theta is 1/2
asked Nov 13, 2016 in Trigonometry Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Let t represent theta. Assume t<90º.

tan(t)=1/2=opposite/adjacent. Hypotenuse=√(opposite^2+adjacent^2)=√5.

sin(t)=opposite/hypotenuse=1/√5 which can also be written rationally as √5/5=0.4472 approx.

cos(t)=adjacent/hypotenuse=2/√5=2√5/5=0.8944 approx.

t=arctan(1/2)=26.565º; t=arcsin(√5/5)=26.565º (approx).

If cos(t)=1/2 t=60º, opposite=√(4-1)=√3. tan(t)=√3=1.732; sin(t)=√3/2=0.866 approx.

answered Nov 13, 2016 by Rod Top Rated User (512,680 points)
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
80,536 questions
84,503 answers
68,282 users