Question

the answer must be 8/11 i want solution​

Answer 1

Explanation:

tan theta = 1/2 which mean perpendicular/base = 1/2

by solving in triangle..

we get sin theta = 1/√5

and cos theta = 2/√5

Answer 2

Explanation:

tanx = 1/2 = लम्ब / आधार

कर्ण² = आधार² + लम्ब²

= (2)² + (1)²

= 4 + 1

कर्ण = (5)½

sinx = लम्ब / कर्ण = 1/5½

cosx = आधार / कर्ण = 2/5½

=2sinx + 3cosx / 4cosx + 3sinx

=2(1/5½)+3(2/5½) / 4(2/5½)+3(1/5½)

=(2/5½ + 6/5½ )/ (8/5½ + 3/5½)

=(8/5½) / (11/5½

= 8/11