Question

Sec 50 sin 40 + Cos 40 Cosec 50

Answer 1

Answer:

2

Step-by-step explanation:

sec50sin40+cos40cosec50

=sec50sin(90-50)+cos(90-50)cosec50

=sec50cos50+sin50cosec50

=1/cos50*cos50+sin50*1/sin50

=1+1

=2

Answer 2

Answer:

2

Step-by-step explanation:

sec 50° sin 40° + cos 40° cosec 50°

= sec ( 90° - 40° ) sin 40° + cos 40° cosec ( 90° - 40°)

= cosec 40° sin 40° + cos 40° sec 40°

= sin 40° / sin 40° + cos 40° / cos 40°

= 1 + 1

= 2

Therefore, the required answer is 2.

Trignomentry identity :-

sin (90 - A ) = cos A , cos ( 90 - A ) = sin A

cosec ( 90 - A ) = sec A , sec ( 90 - A ) = cosec A

tan ( 90 - A ) = cot A , cot ( 90 - A ) = tan A