By using the formula which expresses sin a and cos a in terms of t , where t= tan (a/2) , show that
(1+sin a)/(5+4 cos a )=(1+t)^2/(9+t^2)
I can do this part .
Deduce that for all values of a .
I cant figure out this part .
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You just need to study the function defined over IR
Originally Posted by running-gag You just need to study the function defined over IR
Erm , i can see that t can be any real numbers for the function f(t) to be defined over IR . I don get what u are trying to say , sorry .
I am just saying that you need to study the function (variations, limits, ...)
Start by calculating the derivative
Hello everyone Originally Posted by running-gag You just need to study the function defined over IR Here's a useful technique for dealing with this type of expression.
This is a quadratic in with real roots. So using the discriminant:
Which simplifies to:
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