Question

prove that
sec 70° sin 20° + cos 20° cosec 70º = 2​

Answer 1

Step-by-step explanation:

SEC 70* = COSEC 20*                           [BOTH ARE COMPLEMENTARY]

AND COS 20*=SIN 70*                          [BOTH ARE COMPLEMENTARY]

SO, COSEC 20*SIN20* + SIN 70*COSEC 70*

PUT COSEC 20* = SIN 20*                    [SINCE, COSEC = 1/SIN]

=COSEC 20*/COSEC 20*+SIN 70*/SIN 70*

= 1+1      

= 2

HENCE PROVED

THANKS