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How do I show that (cos^4x - sin^4x) / cos^2x = 1 - tan^2x

Start with the LHS:

(cos^4x - sin^4x) / cos^2x 

Recognise the difference of two squares on the top line, which simplifies to (cos^2x - sin^2x)(cos^2x + sin^2x):

(cos^2x - sin^2x)(cos^...

JM
Answered by Jack M. Maths tutor
18534 Views

In a computer program, a parameter may be passed to a procedure by value. Explain how this method works.

Parameters are variables sent to procedures so that the procedures are able to use them. There are two main ways of passing parameters, one of which is by value: Passing a parameter by value is where a co...

AQ
Answered by Aymen Q. Computing tutor
2284 Views

£3000 is invested for 2 years at 3.8% per annum compound interest. What is the total interest earned over the 2 years?

We can use the following formula: Amount after n years' compound interest = Initial amount x (1 + r)n r = The interest rate in decimal form. n = Number of years. Simply plug the values into our...

AT
Answered by Arisera T. Maths tutor
9276 Views

Farmer Joe has a rectangular pen to hold his animals. The pen’s length is 5 meters longer than the width. The pen’s area is 84 meters. Find it’s width.

Step 1 define the variables:

L stands for the length, W stands for the width

Step 2 write what we know algebraically: 

Since the length is 5 meters l...

OB
Answered by Omar B. Maths tutor
2870 Views

Distinguish between direct and indirect tax.

Direct taxes are taxes imposed on people's income or wealth, and on firms' profits.

Indirect taxes are also known as expenditure taxes, and are taxes consumers pay to a seller by buying the good an...

AS
6611 Views

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