Find the value of the following :

(i) sin 30^o + cos 60^o

(ii) sin² 45^o+cos²45^o

(iii) sin 30^o + cos 60^o – tan45^o

(iv)

(v) tan 60^o x cos30^o

(i) sin 30^o + cos 60^o

We know that,

>

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

=1

(ii) sin² 45^o+cos²45^o

We know that,

So, sin² 45^o+cos²45^o

=1

(iii) sin 30^o + cos 60^o – tan45^o

So,
sin 30^o + cos 60^o – tan 45^o

=0

(iv)

We know that

tan(60^o) = √3

So,

=√4

= 2

(v) tan 60^o × cos30^o

tan(60^o) = √3

So,

tan 60^o × cos30^o