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Sine of sum and difference with 3 values

by afrocod
Tags: difference, sine, values
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afrocod
#1
Mar9-12, 03:20 PM
P: 31
1. The problem statement, all variables and given/known data

sin (90 - θ + λ)

= sin90cos(θ + λ) - cos90sin(θ + λ)

= cos(θ + λ)

The book says cos(θ - λ)

So are we both right and if so how can I manipulate mine to look like the books answer.


2. Relevant equations



3. The attempt at a solution
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tiny-tim
#2
Mar9-12, 04:08 PM
Sci Advisor
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tiny-tim's Avatar
P: 26,148
hi afrocod!
Quote Quote by afrocod View Post
sin (90 - θ + λ)

= sin90cos(θ + λ) - cos90sin(θ + λ)
no, sin (90 - θ + λ) = sin (90 - (θ - λ))

= sin90cos(θ - λ) - cos90sin(θ - λ)
afrocod
#3
Mar9-12, 04:28 PM
P: 31
Ah my old friend Tim.

I was surprised that 100's of people looked at this and nobody answered. I suspected this was a super easy question, as you just proved.

Thank you very much.


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