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) About Me  (Show Source):
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Divide both sides by



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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sinӨ + cosӨ = √2 sin(90-Ө) find the value of tanӨ
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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