# Tan

#1
Use the properties of sine and cosine to express in terms of tan x: tan(90 degrees -x)
0
2 years ago
#2
There’s me thinking we were going to discuss the pros and cons of a lovely summer glow.....
2
2 years ago
#3
Use the trigonometric identity tanx = sinx/cosx

Then how can you express sin(90-x) and cos(90-x) in terms of just cos(x) or sin(x)? Think about translations. sin(90-x), or sin(-x+90) is equal to a flip along the x axis and shifted left by 90° of sin(x), what does that now look like?
0
2 years ago
#4
(Original post by Maximus 190)
Use the trigonometric identity tanx = sinx/cosx

Then how can you express sin(90-x) and cos(90-x) in terms of just cos(x) or sin(x)? Think about translations. sin(90-x), or sin(-x+90) is equal to a flip along the x axis and shifted left by 90° of sin(x), what does that now look like?
I prefer my version.....
0
2 years ago
#5
Other ways include:

1) Perform the transformation of: tan(90 - x), compared to: tan(x).
Then see it resembles a particular trigonometric function which has a definition in terms of sin and cos.

2) Note:

Then use the formulas for:
0
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