Question

Sin4a+sin10a+sin22a+sin16a

Answer 1

Как-то так.Ответ только скудненький получился.Надеюсь правильно.

Answer 2

The expression you provided, sin(4a) + sin(10a) + sin(22a) + sin(16a), is a sum of trigonometric functions. Let's break it down and see if we can simplify it further.

Using some trigonometric identities, we can rewrite the expression as follows:

sin(4a) + sin(10a) + sin(22a) + sin(16a) = 2sin(2a)cos(2a) + 2sin(5a)cos(5a) + 2sin(11a)cos(11a) + 2sin(8a)cos(8a)

Next, we can use the double angle formula for sine (sin(2θ) = 2sin(θ)cos(θ)) to simplify the expression further:

= 2(2sin(a)cos(a))(cos(2a)) + 2(2sin(2a)cos(2a))(cos(5a)) + 2(2sin(5a)cos(5a))(cos(11a)) + 2(2sin(4a)cos(4a))(cos(8a))

= 4sin(a)cos(a)cos(2a) + 8sin(2a)cos(2a)cos(5a) + 8sin(5a)cos(5a)cos(11a) + 8sin(4a)cos(4a)cos(8a)

At this point, we can see that the expression cannot be simplified further without additional information or specific values for 'a'. If you have specific values for 'a', I can help you evaluate the expression using those values.