exam Maths Puzzle Numerical Ability

how can i find the equation of a given trigonometric function graph? what the period and how can i find it? How can i know if a graph equation is y= sin x or if its y= cos x?

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exam Other Question

the design below grows each day as shown. if it continues to grow like this, how many tiles will there be in the design on the tenth day? on the fitieth day?

day 1
1 tile

day 2
4 tiles

day 3
9 tiles
3x+2y-z=8
-3x+4y-5z=-14
x-3y+4z=-14