At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.
What is difference formula in trignometry?
The difference formula in trignometry for the sine funciton is given as,
[tex]\sin(A-B)=\sin(A)\cos(B) -\cos(A)\sin(B)[/tex]
The trignometric equation given in the problem is,
[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)[/tex]
Compare this equation with the above eqution, we get,
[tex]A=80^o\\B=20^o[/tex]
Thus, this equation can be written as,
[tex]\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(80-20)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(60)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\dfrac{\sqrt{3}}{2}[/tex]
Hence, the value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.
Learn more about the difference formula in trignometry here;
https://brainly.com/question/2142049
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
