Question

9sec2 A - 9tan2 A बराबर है-
(a) 1
(b) 9
(c) 8
(d) 0

Answer 1

Answer:

b) 9

Step-by-step explanation:

To find -----> Value of ( 9 Sec²A - 9 tan²A )

Solution------> We know that,

1 + tan² θ = Sec²θ

=> 1 = Sec²θ - tan²θ

Now ,

9 Sec²θ - 9 tan²θ

= 9 ( Sec²θ - tan²θ )

Putting , Sec²θ - tan²θ = 1 , we get,

= 9 ( 1 )

= 9

Additional information----->

1) Sin²θ + Cos²θ = 1

2) 1 + tan²θ = Sec²θ

3) 1 + Cot²θ = Cosec²θ

4) Sin ( 90° - θ ) = Cosθ

5) Cos ( 90° - θ ) = Sinθ

6) tan ( 90° - θ ) = Cotθ

7) Cot ( 90° - θ ) = tanθ

8) Sec ( 90° - θ ) = Cosecθ

9) Cosec ( 90° - θ ) = Secθ