Question

(a + 2) sina +(2a - 1) cos a = (2a + 1) if tana =​

Answer 1

Answer:

4\3

Step-by-step explanation:

Simplifying (a+2)sinα+(2a−1)cosα=2a+1

asinα+2sinα+2acosα−cosα=2a+1

a(sinα+2cosα)+2sinα−cosα=2a+1

sinα+2cosα=2

2sinα−cosα=1

cosα=

5

3

,sinα=

5

4

tanα=

5

3

5

4

tanα=

3

4