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Let a,b>0 and x∈]0;(π/2)[ Prove ((a/(sinx))+1)((b/(cosx))+1)≥(1+(√(2ab)))^2

$L e t a, b > 0 a n d x \in] 0; \frac{π}{2} [$ $P r o v e (\frac{a}{s i n x} + 1) (\frac{b}{c o s x} + 1) ⩾ {(1 + \sqrt{2 a b})}^{2}$

Question Number 117825 Answers: 1 Comments: 0

Let ABC be a triangle such as 2cosA+3sinB=4 and 3cosB+2sinA=3 Prove that the angle C is right.

$L e t A B C b e a t r i a n g l e s u c h a s$ $2 c o s A + 3 s i n B = 4 a n d 3 c o s B + 2 s i n A = 3$ $P r o v e t h a t t h e a n g l e C i s r i g h t .$

Question Number 117739 Answers: 1 Comments: 0

what is the centre of the circle with radius 4(√2) that can be inscribed in the parabola y=x^2 −16x+128?

$what is the centre of the circle$ $with radius 4 \sqrt{2} that can be$ $inscribed in the parabola$ $y = x^{2} - 16 x + 128 ?$

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Question Number 114638 Answers: 1 Comments: 0

Given a = ((1^2 +2^2 +3^2 +...+16^2 −16)/(1.3+2.4+3.5+...+15.17)) c = (1−(1/2)).(1−(1/3)).(1−(1/4)).(1−(1/5)). (1+(1/5))(1+(1/4))(1+(1/3))(1+(1/2)). find a×c =

$G i v e n a = \frac{1^{2} + 2^{2} + 3^{2} + . . . + 16^{2} - 16}{1.3 + 2.4 + 3.5 + . . . + 15.17}$ $c = (1 - \frac{1}{2}) . (1 - \frac{1}{3}) . (1 - \frac{1}{4}) . (1 - \frac{1}{5}) .$ $(1 + \frac{1}{5}) (1 + \frac{1}{4}) (1 + \frac{1}{3}) (1 + \frac{1}{2}) .$ $f i n d a \times c =$

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