Question

46sin152° * cos152° / sin 304°

Answer 1

46sin152° * cos152° / sin 304°=23sin304/sin304=23

Answer 2

46sin152° * cos152° / sin 304°" in English. This is a mathematical expression that can be simplified using trigonometric identities. One possible way to simplify it is as follows:

46sin152° * cos152° / sin 304° = 46sin(180° - 28°) * cos(180° - 28°) / sin(2 * 152°) (using complementary angles) = 46sin28° * cos28° / sin(360° - 56°) (using supplementary angles) = 46sin28° * cos28° / sin(-56°) (using periodicity of sine) = -46sin28° * cos28° / sin56° (using odd symmetry of sine) = -23sin56° * cos28° / sin56° (using double angle formula for sine) = -23cos28° (cancelling out sin56°)

Therefore, the simplified expression is -23cos28°, which is approximately -19.88. You can also use online calculators to verify this result. I hope this helps you understand the expression better.