Question

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

11th - 12th Class

Maths

Solution

134

4.0 (1 ratings)

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} )