If sin A = cos A , then find the value of 2 tan^2 A + sin^2 A + 1
Answers
Answered by
1
convert everything in sin and cos.
sinA=cosA
sinA/cosA=1
tanA=1
A=45 degree
2 (sin^2A/cos^2A) +sin^2A + 1
=2+sin^2A+1(sinA and cosA got cancelled because both are equal)
=sin^2(45degree)+3=(1/sqrt(2))^2+3=(1/2)+3=7/3.
done.
let me knw in case u have any doubt.
sinA=cosA
sinA/cosA=1
tanA=1
A=45 degree
2 (sin^2A/cos^2A) +sin^2A + 1
=2+sin^2A+1(sinA and cosA got cancelled because both are equal)
=sin^2(45degree)+3=(1/sqrt(2))^2+3=(1/2)+3=7/3.
done.
let me knw in case u have any doubt.
helpingbuddy40:
value of tan 45=1.
sqrt=underroot
But tan 45 is not mentioned in the question
right
Oh sorry
I got it
but we should know the values of standard angles
Thanks
u can solve it by creating triangle also
no problem:)
Similar questions