Expand and simplify the trigonometric expression (cos(pix)+sin(piy))^4

 Exercise

$\left(\cos\left(\pi x\right)+\sin\left(\pi y\right)\right)^4$

 Step-by-step Solution

 

Expand the binomial $\left(\cos\left(\pi x\right)+\sin\left(\pi y\right)\right)^4$

$\cos\left(\pi x\right)^4+4\cos\left(\pi x\right)^3\sin\left(\pi y\right)+6\cos\left(\pi x\right)^2\sin\left(\pi y\right)^2+4\cos\left(\pi x\right)\sin\left(\pi y\right)^3+\sin\left(\pi y\right)^4$

Final answer to the exercise  

$\cos\left(\pi x\right)^4+4\cos\left(\pi x\right)^3\sin\left(\pi y\right)+6\cos\left(\pi x\right)^2\sin\left(\pi y\right)^2+4\cos\left(\pi x\right)\sin\left(\pi y\right)^3+\sin\left(\pi y\right)^4$

 Try other ways to solve this exercise

Choose an option
Product of Binomials with Common Term
FOIL Method
Find the integral
Find the derivative
Factor
Integrate by partial fractions
Integrate by substitution
Integrate by parts
Integrate using tabular integration
Load more...

Can't find a method? Tell us so we can add it.

 Exercise

 Step-by-step Solution

 Final answer to the exercise  

Other solved exercises

Empowering students and teachers through AI

✨ Create your account today!

Empowering students and teachers through AI

 Your Personal Math Tutor. Powered by AI

Available 24/7, 365 days a year.

 Complete step-by-step math solutions. No ads.

 Choose between multiple solving methods.

 Download unlimited solutions in PDF format.

 Unlimited practice with our AI whiteboard.

 Premium access on our iOS and Android apps.

 Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.

 Pay $39.97 USD securely with your payment method.

Please hold while your payment is being processed.

Final answer to the exercise  