Question

Evaluate the value of cos30+sin30+cos60+cos30​

Answer 1

Step-by-step explanation:

sin 60 = root 3 /2 

cos 30 = root 3 /2 

sin 30 = 1/2 

cos 60 = 1/2 

= (root 3 /2 ) (root 3 / 2) + (1/2) (1/2) 

= 3/4 + 1/4 

= 4/4 

= 1 

sin 60 + 30 = 90 

where sin 90 = 1

hope it helps you

Answer 2

Solution :

$\tt \implies \cos 30+ \sin 30+ \cos 60+ \cos30 \\ \\ \tt \implies \frac{ \sqrt{3} }{2} + \frac{1}{2} + \frac{1}{2} + \frac{ \sqrt{3} }{2} \\ \\ \tt \implies \frac{ \sqrt{3} + 1 + 1 + \sqrt{3} }{2} \\ \\ \tt \implies\frac{2 + 2 \sqrt{3} }{2} \\ \\ \tt \implies \frac{2(1 + \sqrt{3}) }{2} \\ \\\tt \implies 1 + \sqrt{3}$