Question

Without using trigonometric tables, prove that
(i) sin 43° cos 47° + cos 43° sin 47° = 1
PO od
Oro​

Answer 1

Answer:

sin 43° cos(90°-43°)+cos43°sin(90°-43°)=sin 43° sin 43°+cos 43° cos 43°=1

Answer 2

Answer:

LHS:

sin 43 cos(90-43)+cos43 sin(90-43)

we know that :

(cos( 90-theta)=sintheta )

so,

sin43 sin43+cos43 cos43

sinsquare43+cossquare43

we know that ,

(sin square theeta + cos square theeta =1 )

so, sin square43+cos square43=1