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do you know how to find slope of tangent at a point ?

show your work, i'll spot the error.

this way it'll get solved faster

7cos(7x)−6sin(6x) is the derivative. So plugging in pi/6 for x to get the slope. We get -6.062177826

ok, i get the same thing, thats your slope

yes, to get y(pi/6)
put x=pi/6 in y
sin(7pi/6)+cos(6pi/6) = ...

wait where am i putting the pi/6?

to get y(pi/6) from y(x) =sin(7x)+cos(6x)
just replace x = pi/6 there

so -1.5?

yup
so point is (pi/6, -1.5) with slope = -6.06
now can u find the equation of line ?

yes, i get the same answer.

Thank you very much for your help today.

welcome very much :)