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