danteinsmash
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Please help!! Why is sin(20) = sin(160) = -sin(200) = -sin(340)?

Sagot :

LammettHash

These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

fllkhj

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.