If \(sin α + csc α = tan{\pi\over 3}\), then the value of (sin3α + csc3α) is equal to:
A certain sum amounts to Rs 8,192 in 3.5 years and to Rs 9,472 in 6 years, at simple interest at a certain rate percent p. a. The rate of interest p.a. and the sum are ........ and ....... respectively.
Find the value of \(cot30°+cot75°+cot45°-sin90°+sin45° \over sin60°+cos30°+ tan15°+cos45°\)
3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?
The value of (tan29°cot61°-cosec261°)+cot254°-sec236°+(sin21°+sin23°+sin25°+.....+sin289°) is: