Evaluate:(cos55osin35o)2+(sin35ocos55o)2−2cos60o

(cos55osin35o)2+(sin35ocos55o)2−2cos60o[cos(90o−35o)sin35o]2+[sin(90o−55o)cos55o]2−2cos60o(cos35osin35o)2+(sin55ocos55o)2−2×21=1+1−1=1

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Evaluate: ( { 35^o}{ 55^o} )^2 + ( { 55^o}{ 35^o})^2 -2 60^o

Question

Evaluate:
$(\frac{sin 3 5 ^{o}}{cos 5 5 ^{o}})^{2} + (\frac{cos 5 5 ^{o}}{sin 3 5 ^{o}})^{2} - 2 cos 6 0^{o}$

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Evaluate:

(\frac{sin 3 5 ^{o}}{cos 5 5 ^{o}})^{2} + (\frac{cos 5 5 ^{o}}{sin 3 5 ^{o}})^{2} - 2 cos 6 0^{o}

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(\frac{sin 3 5 ^{o}}{cos 5 5 ^{o}})^{2} + (\frac{cos 5 5 ^{o}}{sin 3 5 ^{o}})^{2} - 2 cos 6 0^{o}

[\frac{sin 3 5 ^{o}}{cos ( 9 0 ^{o} - 3 5 ^{o} )}]^{2} + [\frac{cos 5 5 ^{o}}{sin ( 9 0 ^{o} - 5 5 ^{o} )}]^{2} - 2 cos 6 0^{o}

(\frac{sin 3 5 ^{o}}{cos 3 5 ^{o}})^{2} + (\frac{cos 5 5 ^{o}}{sin 5 5 ^{o}})^{2} - 2 \times \frac{1}{2}

= 1 + 1 - 1 = 1

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Question Text	Evaluate: $(\frac{sin 3 5 ^{o}}{cos 5 5 ^{o}})^{2} + (\frac{cos 5 5 ^{o}}{sin 3 5 ^{o}})^{2} - 2 cos 6 0^{o}$
Answer Type	Text solution:1
Upvotes	150