danteinsmash
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our 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)

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.