Question

tansquare30°+1/2sinsquare45°+1/3cossqiare30°+1/tansquare60°=1 1/6​

Answer 1

Answer:

tan²30=[1/√3]²,sin²45=[1/√2]²,cos²30=[√3/2]²tan²60=[√3]²

∴[1/√3]²=1/3,[1/√2]²=1/2,[√3/2]²=3/4,[√3]²=3

⇒1/3+1/2[1/2]+1/3[3/4]+11/6+[3]                        [after multiplication]

=[1/3+1/4]+[3/12+33/18]                                        [cross multiplication]

=[3+4/4×3]+[54+396/12×18]

=[7/12]+[423/216]                                             [cross multiplication]

=1512+5076/2592

=6588/2592

=723.5/323.5.

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