Express-the-following-as-functions-of-A-i-sec-A-3pi-2-ii-cosec-A-pi-2-iii-tan-A-3pi-2-iv-cos-720-A-v-tan-A-pi-

Question Number 93952 by oustmuchiya@gmail.com last updated on 16/May/20

E x p r e s s t h e f o l l o w i n g a s f u n c t i o n s

o f A :

(i) s e c (A - \frac{3 π}{2}) (ii) c o s e c (A - \frac{π}{2})

(iii) t a n (A - \frac{3 π_{}}{2}) (iv) c o s (720 ° + A)

(v) t a n (A + π)

Answered by Kunal12588 last updated on 16/May/20

I t h i n k t h e y a l r e a d y a r e f u n c t i o n s o f A

a n y w a y w e c a n s i m p l i f y

1 ⟩ s e c (270 ° - A) = c o s e c A

2 ⟩ - c o s e c (90 ° - A) = - s e c A

3 ⟩ - t a n (270 ° - A) = - c o t A

4 ⟩ c o s (360 ° \times 2 + A) = c o s A

5 ⟩ t a n (180 ° + A) = - t a n A

Commented by oustmuchiya@gmail.com last updated on 16/May/20

A m i l l i o n t h a n k s t o y o u i n d e e d

Commented by Kunal12588 last updated on 16/May/20

well the last one is wrong tan(180°+A)=tan A anyway a piece of advice :- read a lot!