TS EAMCET 4-Aug-2021 Shift 2 Question Paper

tan‌A=x,‌‌cos‌B=y,sin‌C=z
x+3y+6z=1 . . . (i)
3x+y+4z=4 . . . (ii)
5x+3y−8z=−2‌‌...‌ (iii) ‌
On subtracting Eq. (iii) from Eq. (i),
4x−14z=−3 . . . (iv)
Multiply by 3 in Eq. (ii) and subtracting if from Eq. (i)
−8x−6z=−11‌‌...(v)
Multiply by 2 in Eq. (iv) and adding Eqs. (iv) and (v)
−34z=−17
The value of z=‌

1

2

,x=1
∴‌‌tan‌A=1‌ and ‌y=−1
A‌‌=‌

π

4

,cos‌B=−1
B‌‌=π
⇒‌‌sin‌C‌‌=‌

1

2

⇒C=‌

π

6

B−2A−C‌‌=π−‌

π

2

−‌

π

6

=‌

π

3