Question

sin 10 cos 20 tan 40 tan 50 cosec 70 sec 80

Answer 1

please check my answer

Answer 2

$Value \:of \: sin 10cos20 tan 40 tan 50 cosec70 sec80$

/* Rearranging the terms , we get */

$= ( sin 10 sec 80) (cos 20 Cosec 70 ) (tan 40 tan 50 )$

$= sin (90-80) sec80 cos (90-70)Cosec 70 tan(90-50)tan 50$

$= cos 80 \times \frac{1}{cos 80} \times sin 70 \times \frac{1}{sin 70} \times cot 50 \times tan 50$

$= 1 \times 1 \times 1 \\= 1$

Therefore.,

$\red{Value \:of \: sin 10cos20 tan 40 tan 50 cosec70 sec80}\green {= 1 }$

•••♪