Q. 14.7( 4 Votes )

Find the value of the following :

(i) sin 30o + cos 60o

(ii) sin2 45o+cos245o

(iii) sin 30o + cos 60o – tan45o

(iv)

(v) tan 60o x cos30o

Answer :

(i) sin 30o + cos 60o


We know that,


>



So,
sin(30
o) + cos(60o)



=1


(ii) sin2 45o+cos245o


We know that,




So, sin2 45o+cos245o




=1


(iii) sin 30o + cos 60o – tan45o





So,
sin 30
o + cos 60o – tan 45o




=0


(iv)


We know that


tan(60o) = √3


So,





=√4


= 2


(v) tan 60o × cos30o


tan(60o) = √3



So,


tan 60o × cos30o




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