Question

Find the value of cos² 35° + cos² 55°​

Answer 1

Hope this attachment will help you!

Answer 2

$\red{Value \:of \:cos^{2} 35\degree + cos^{2} 55\degree }$

$= cos^{2} (90-55)\degree + cos^{2} 55\degree$

$= sin^{2} 55\degree + cos^{2} 55\degree$

$= 1$

/* By Trigonometric Identity */

$\boxed{\pink{ sin^{2} \theta + cos^{2} \theta = 1 }}$

Therefore.,

$\red{Value \:of \:cos^{2} 35\degree + cos^{2} 55\degree }\green { = 1 }$

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