Question

5sin²a+4cos²a=9/2 find tan a

Answer 1

See the pic for the answer.....

Pls make mine as the brainliest....

Answer 2

Answer:

5(sin²a)+ 4cos²a=9/2

5sin²a+4(1-sin²a)= 9/2

5sin²a+4-4sin²a=9/2

sin²a=9/2-4

sin²a=1/2

sina= 1/√2

by Pythagoras therom

ac²=bc²+ab²

(√2)²=bc²+(1)²

bc= 1

tana =ab/bc

tana=1