How do we express #csc(-7498^@)# in terms of smallest angle in #Q1#?

1 Answer
Jul 22, 2017

#csc(-7498^@)=sec28^@#

Explanation:

Among the multiples of #360^@#, which will be next after #7498^@#. Well for this we divide #7498# by #360# and as

#7498=360xx20+298#

and the next multiple is #21xx360=7560#

and we can write #csc(-7498^@)# as

#csc(-7498^@)=csc(-360^@xx21+62^@)#

= #csc62^@#

But this is greater than #45^@# and hence we can reduce it further as follows:

#csc62^@#

= #csc(90^@-28^@)#

= #sec28^@#