Trigonometric Equations

Can anyone help me solve this equation sin(2 θ+50°)=0.5

Can anyone help me solve this equation sin(2 θ+50°)=0.5

What are the boundaries for theta e.g. 0<θ<360°

Yes, the boundaies for theta are 0 to 360

x

2θ+50° = 150 boundaries change to 50°<2θ+50°<770
= 390
= 510
= 750
θ = 50
θ =170
θ =230
θ =350

Whoever is this ‘mc1996’? He has written something that is erroneous – extremely erroneous at that. A true mathematician would understand that you cannot merely pick up a solution without writing in a logical and methodical manner. One of your solutions, ‘50’ has appeared from nowhere. You are supposed to write out the full solutions of u before getting the values of theta. Let u =2θ+50. u =150, 390, 510, 750. Therefore x =50, 155, 230, 350. What you have written here strongly suggests that you lack the required knowledge to study even GCSE Mathematics, let alone AS/A2. I suggest you go back to the basics before correcting people – incorrectly.

2θ+50° = 150 boundaries change to 50°<2θ+50°<770
= 390
= 510
= 750
θ = 50
θ =170
θ =230
θ =350

Can you please explain how you reached this answer? I get similar numbers for θ but I think I am missing a step.

...

As has already been said

Please do not give full solutions and it is against the forum policy

my apologies

Whoever is this ‘mc1996’? He has written something that is erroneous – extremely erroneous at that. A true mathematician would understand that you cannot merely pick up a solution without writing in a logical and methodical manner. One of your solutions, ‘50’ has appeared from nowhere. You are supposed to write out the full solutions of u before getting the values of theta. Let u =2θ+50. u =150, 390, 510, 750. Therefore x =50, 155, 230, 350. What you have written here strongly suggests that you lack the required knowledge to study even GCSE Mathematics, let alone AS/A2. I suggest you go back to the basics before correcting people – incorrectly.

'mc1996' since you seem like a person who is quite confident on their mathematical ability, would you please help me with this question.

The curve C has equation xy = 1/2. The tangents to C at the distinct points P(p, 1/2p)
and Q(q, 1/2q), where p and q are positive, intersect at T and the normals to C at these points intersect at N. Show that T is the point ((2pq)/p + q,1/(p + q)).
In the case pq = 1/2 , find the coordinates of N. Show (in this case) that T and N lie on the
line y = x and are such that the product of their distances from the origin is constant.

I understand how to attempt the first part but I'm finding it hard to complete the question. Any help on this question is appreciated as long as it isn't erroneous in any way!

Hmmmmmmm quite a change of heart here

Necessity makes strange bedfellows, even on TSR