if cos 6 theta is equal to acos⁶theta+bcos⁴thetasin²theta + c cos ² theta sin ⁴ theta + d sin 6 theta find a,b,c,d
You asked:
Given \( \cos\left( 6 \right) \cdot θ = a \cdot {\cos\left( θ \right)}^{6} + b \cdot {\cos\left( θ \right)}^{4} \cdot {\sin\left( θ \right)}^{2} + c \cdot {\cos\left( θ \right)}^{2} \cdot {\sin\left( θ \right)}^{4} + d \cdot \sin\left( 6 \right) \cdot θ \), evaluate \( a \), \( b \), \( c \), \( d \).