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Q. 7
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Express the product sin(4θ)sin(2θ) as a sum containing only sines or only cosines.
sin(4θ)sin(2θ)=cos(2θ)-cos(6θ)2
sin(4θ)sin(2θ)
2sinAsinB=cos(A-B)-cos(A+B)So,sin(4θ)sin(2θ)=cos(2θ)-cos(6θ)2
True or False. sin2θhas two equivalent forms:
2sinucosu and sin2θ-cos2θ
Suppose that f and g are two functions with the same domain. If f(x)=g(x) for every x in the domain, the equation is called a(n) ____. Otherwise, it is called a(n) _____ equation.
In Problems 9–36, find the exact value of each expression.
sectan-13
csccos-1-32
If tanθ=atanθ3, express tanθ3 in terms of a.
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