If \({sin\theta\over1+cos\theta}+\)\({1+cos\theta\over sin\theta}\)\(={4\over \sqrt3}\), \(0^0<\theta<90^0\), then the value of \((tan\theta+sec\theta)^{-1}\) is :

If A lies between 45° and 540°, and sin A = 0.5, what is the value of A/3 in degrees?

4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?

If \(sin α + csc α = tan{\pi\over 3}\), then the value of (sin³α + csc³α) is equal to: