If-sin-1-2-cos-1-3-then-belongs-to-where-0-lt-lt-pi-2-1-pi-3-pi-2-2-pi-2-2pi-3-

Question Number 16855 by Tinkutara last updated on 27/Jun/17

If \sin θ = \frac{1}{2}, \cos ϕ = \frac{1}{3}, then θ + ϕ

belongs to, where 0 < θ, ϕ < \frac{π}{2}

(1) (\frac{π}{3}, \frac{π}{2})

(2) (\frac{π}{2}, \frac{2 π}{3})

Answered by ajfour last updated on 27/Jun/17

\frac{π}{3} < ϕ < \frac{π}{2} and θ = \frac{π}{6}

so \frac{π}{2} < θ + ϕ < \frac{2 π}{3} .

Commented by Tinkutara last updated on 27/Jun/17

Thanks Sir!