Question

Please ans it fast
If cot theta =7/8 Evaluate : (1+sin theta)(1-sintheta) / (1+costheta)(1-costheta)

Answer 1

$\cot( \infty ) = 7 \div 8$

$\cos( \infty ) \div \sin( \infty ) = 7 \div 8$

$(1 + \sin( \infty ) )(1 \sin( \infty \\ ) )$

1............

$1 + \cos( \infty ) 1 - \cos( \infty )$

2......

divide 1.and2

$1 - { \sin( \infty ) }^{2} \div 1 - { \cos( \infty ) }^{2}$

${ \cos( \infty ) }^{2} \div {sin}^{2} \infty$

$\frac{ \cos( \infty ) }{ \sin( \infty ) } \times \frac{cos \infty }{ \sin( \infty ) }$

7/8×7/8 = 49 /64