Simplifying trigonometry (beginner)

[red glen]

So everywhere you see Tan.... those can be replaced by Sin/Cos for those same angles as it's the same thing....

That will help reduce things down a bit (or Sin/Cos can be replaced by tan for that same angle as well)

See that 1/Cos(40) squared? Since Tan = Sin/Cos... then Cos = Sin/Tan... so 1/Cos^2 could be written as Tan^2/Sin^2 instead

So it's just about playing around with the expressions to reduce them as much as possible without actually doing the math with the decimal number for whatever Cos(50) equals etc.

[warm iris]

convert tan into sin/cos