Question

5. (3) ( frac{(1+sin theta)(1-sin theta)}{(1+cos theta)(1-cos theta)}=frac{(1)^{2}-(sin theta)^{2}}{(1)^{2}-(cos theta)^{2}} )
( =frac{left[because(a-b)(a+b)=a^{2}-b^{2}right]}{1-cos ^{2} theta}=frac{cos ^{2} theta}{sin ^{2} theta}=left(frac{cos theta}{sin theta}right)^{2} )
( =(cot theta)^{2} )
( =(cot theta)^{2}=left(frac{7}{8}right)^{2}=frac{49}{64} )

# 5. If cote = evaluate (I + sine) (i – sine) (1 + cose) (1 - cose)

Solution