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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
19918 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
2678 Views

What is the subjunctive?

The subjunctive is used to express wishes, probabilities, or conditions which are contrary to fact. It is called Konjunktiv 2 in German.

It would be like the "would do" function in Englis...

FD
Answered by Fabienne D. German tutor
1856 Views

What are the main explanations of Schizophrenia

There are several different theories that can explain schizophrenia. There are biological explanations such as the dopamine hypothesis and genetic explanation, and there are social explanations such as th...

NG
Answered by Nicola G. Psychology tutor
9682 Views

Why is the integral of a function the area?

Say you have two functions, A and B, and A is the gradient of B. That is to say, A is as high as B is steep (at any point). Equally, A is as high as the rate of change of B (at any point). Now let’s say w...

MC
Answered by Madison C. Maths tutor
3486 Views

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