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That looks ok to me.
Yes dude it make sense now ,I tried to solve and after coming to this point I gave up
Thanks anonimnystefy and Bob for the help...
One is sin(a), the other is sin(b). Now calculate cos(a) and cos(b) from those and use the sine of angle sum formula.
Tell me more please.
24/25 is the exact answer. We can use the roots of that quadratic.
Which is not sin(a+b)
Still hoping for an analytic solution.
And thanks Bob and anonimnystefy for the reply
Sorry for late reply...
The answer in the book is sin(a + b) = 24/25 as bob got 0.96,@Bob but I didn't understood what you did... can you explain and why my equation is not working
His quadratic is correct. Use cos(x)=sqrt(1-(sin(x))^2).
So where did the sinxcosx term go ?
You could try this:
and so get an expression for cos(x - y) where cos(y) = 6/10 .....
This enables you to work out values for a and b and hence sin(a+b).
I feel as though a solution should be possible without evaluating the angles and thus giving 'absolute' accuracy but I cannot find it yet. Still thinking about this.
ps. Diagram was for a failed solution, but I cannot delete it at the moment.