In which one of the following subsets , $c o s^{2} A$ + $s i n^{2} A$ = 1 is valid

0 < A < 90

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0 < A $\leq$ 90

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0 $\leq$ A < 90

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0 $\leq$ A $\leq$ 90

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
0 $\leq$ A $\leq$ 90

sinA and cosA exists for A = $0^{\circ}$ as sin0 = 0 and cos0 = 1

sinA and cosA exists for A = $90^{\circ}$ as sin90 = 0 and cos90 = 0

We know sinA and cosA exists for any angle between 0 an 90.

Therefore the most appropriate subset would be option (d)

Suggest Corrections

Similar questions

In which one of the following subsets , $c o s^{2} A$ + $s i n^{2} A$ = 1 is valid

$\frac{sin 2 A}{1 + cos 2 A}$ =

\frac{1 + sin 2 A - cos 2 A}{1 + sin 2 A + cos 2 A} = tan A

\frac{{sin}^{2} A}{{cos}^{2} A} + \frac{{cos}^{2} a}{{sin}^{2} A} = \frac{1}{{sin}^{2} A {cos}^{2} A} - 2

\frac{s i n^{2} A}{c o s^{2} A} + \frac{c o s^{2} A}{s i n^{2} A} = \frac{1}{s i n^{2} A c o s^{2} A} - 2

Join BYJU'S Learning Program