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Using Pythagoras' theorem, show that sin^2(x)+cos^2(x)=1 for all x.

Take a right angled triangle with hypotenuse of length 1, and angle at the bottom of the hypotenuse equal to x. We will let o denote the length of the side opposite the angle, and a denote the length of the ...
Answered by • Maths tutor
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Given x = 3sin(y/2), find dy/dx in terms of x, simplifying your answer.

The first step is to find dx/dy in terms of y, which when differentiating comes out as 3/2cos(y/2), so dy/dx in terms of y is the reciprocal of this.The next step is to eliminate the y dependent terms, which...
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Answered by Max A. • Maths tutor
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Describe how the products of the Light dependent stage of photosynthesis are used in the Calvin cycle (3marks)

Reduced NADP is used to reduce GP to TP. The ATP provides the energy needed for the reduction of the aforementioned reaction. It also provides a phosphate ion to regenerate RuBP from TP.
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Answered by Bill C. • Biology tutor
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Describe the bonding in a water molecule.

The molecular formula for water is H20. Two hydrogen atoms and one oxygen atom form a covalent bond. Hydrogen is slightly positively charged and is attracted to oxygen which is slightly negatively charged. T...
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Answered by Emilia S. • Chemistry tutor
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Which four data types are used in Python? Can you give an example of each?

In Python we use Strings, Integers, Floats and Booleans.String - text e.g. "Hello World"Integer - whole number e.g. 5Float - decimal number e.g. 2.8Boolean - binary value e.g. True, False
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Answered by Emilia S. • Python tutor
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