Question

if 5sin²theeta+ cos²theeta = 2,find the value of sin theeta

Answer 1

Hey dear here is your answer!!!!!

$5 \sin^{2} + \cos^{2} = 2 \\ 5 \sin( {}^{2} ) + 1 - \sin^{2} = 2 \\ 4 \sin^{2} = 1 \\ \sin= 1 \div 2$
Hope it helps u dear...☺️☺️☺️☺️

Answer 2

According to question :

5 Sin^2 A + Cos^2 A = 2

5 Sin^2 A + 1 - Sin^2 A = 2

✓✓ ✌️✌️[ Use this property :

{ Sin^2 A + Cos^2 A = 1 } ]


4 Sin^2 A = 1

Sin^2 A = 1/4

Sin A = 1/2 and Sin A = -1/2

then A = π/6 and (π - π/3)