Find the value of \(cot30°+cot75°+cot45°-sin90°+sin45° \over sin60°+cos30°+ tan15°+cos45°\)
A shopkeeper bought 40 pieces of an article at a rate of ₹50 per item. He sold 35 pieces with 20% profit. The remaining 5 pieces were found to be damaged and he sold them with 10% loss. Find his overall profit percentage.
The value of the expression (\({cos^6\theta+sin^6\theta-1}\)) (\({tan^2\theta+cot^2\theta+2}\)) is :
The value of (1 + sec20° + cot70°)(1 - cosec20° + tan70°) is:
If A lies between 45° and 540°, and sin A = 0.5, what is the value of A/3 in degrees?