Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Using the identity sin? 0 + cos²0 1, find the value of sin 0, to the nearesthundredth, if cos 0 = 0.52 and 3

Sagot :

we have that

sin^2(x)+cos^2(x)=1

we have

cos(x)=0.52

the angle lie in the IV quadrant

substitute

sin^2(x)+0.52^2=1

sin^2(x)=0.7296

sin(x)=(+/-)0.85

but

the angle lie in IV quadrant

so

is negative

sin(x)=-0.85

Part 2

cos(x)=-0.54

III quadrant

the sine is negative too

substitute

sin^2(x)+(-0.54)^2=1

sin^2(x)=0.7084

sin(x)=-0.84