Question

sin^2(A)+sec^2(A)=2/3 then find 'tan^2(A)+cos^2(A)​

Answer 1

• Step-by-step explanation:
• Substitute cot2(θ)=(−2)2 :
• 1+(−2)2=csc2(θ)
• 5=csc2(θ)
• Substitute csc2(θ)=1sin2(θ)
• 5=1sin2(θ)
• sin2(θ)=15.
• sin(θ)=±√55.
• Because we are told that cos(θ)<0 and cot(θ)=−2 , we know that the sine function must be positive in this quadrant: