exam Maths Puzzle Numerical Ability

Hello. I have a problem that I dont understand and I was wondering if anyone could help me. I problem is:
cosxcscx + cosxSQRT2 = 0

I got as far as: tanx + cosxSQRT2 = 0

Any help would be greatly appreciated!

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exam Other Question

This is a word problem of sort.

Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, please help me solve the following

-k(-2-3)-(-2)(-k-5)=-2-(-2k+4)+3 square root of -27