# How do I solve a sum and difference trig equation for the smallest positive solutions?

##
#sin(6x)cos(8x)-cos(6x)sin(8x) = -0.7# .

This is what I have so far:

simplify #sin(x)# .

#sin(6x-8x) = -0.7#

#sin(-2x) = -0.7#

#-sin(2x) = -0.7#

solve for #x# .

#2x = theta#

#x = 1/2 theta#

solve for #theta# .

#sin(theta) = -0.7#

#sin(theta) = ???#

This is what I have so far:

simplify

solve for

solve for

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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