Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. 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
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
