SOLUTION: sinӨ + cosӨ = √2 sin(90-Ө) find the value of tanӨ
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Question 623860: sinӨ + cosӨ = √2 sin(90-Ө) find the value of tanӨ
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ +\ \cos(\theta)\ =\ \sqrt{2}\sin(90^\circ\-\theta))
\ +\ \cos(\theta)\ =\ \sqrt{2}\cos(\theta))
Divide both sides by )
\ +\ 1\ =\ \sqrt{2})
You can take it from here...
John
My calculator said it, I believe it, that settles it
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
sinӨ + cosӨ = √2 sin(90-Ө) find the value of tanӨ
**
sinӨ + cosӨ = √2 sin(90-Ө)
sinӨ + cosӨ = √2 cosӨ
(sinӨ + cosӨ)/ cosӨ = √2
(sinӨ/cosӨ)+(cosӨ/cosӨ)=√2
(sinӨ/cosӨ)+1=√2
tanӨ=√2-1=.414
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