c2 graph of trigonometric functions

can someone help me with this, i dont understand what sin(180-theta) =sintheta means also i dont understand how to express for example sin(theta) in terms of sin(theta)

please someone help me and explain it to me

Reply 1

the bear

see what happens if you put different angles for theta in sin( 180 - theta ) and sin ( theta )

Reply 2

Mr revision

Original post by the bear

see what happens if you put different angles for theta in sin( 180 - theta ) and sin ( theta )

E.g if i put sin(180-46) the answer is the same as sin (46)

but what does express in term of sin(theta) means, for example sin(-theta)

Reply 3

the bear

Original post by Mr revision

E.g if i put sin(180-46) the answer is the same as sin (46)

but what does express in term of sin(theta) means, for example sin(-theta)

so we can say that sin( 180 - Θ ) can be written as sin ( Θ )

we have expressed sin( 180 - Θ ) in terms of sin ( Θ )

Reply 4

RogerOxon

Original post by Mr revision

Draw a graph of

sin\theta

. Because it is periodic and symmetric (about certain values), you should be able to see why the above is true.

Reply 5

Mr revision

Original post by the bear

so we can say that sin( 180 - Θ ) can be written as sin ( Θ )

we have expressed sin( 180 - Θ ) in terms of sin ( Θ )

sorry to be bothering you but how will you work out for example if the question says given that theta is an acute angle measured in degrees, express in terms of sin(theta) sin(-theta)

please help me and thanks also this is not my homework by the way, its independent work