Question

IF SIN A=2/3 CALCULATE OTHER RATIOS

Answer 1

Answer:

SIN A=2/3

COSEC A=3/2 ( bcoz COSEC A =1/SIN A )

we know that SIN^2 A+COS^2 A=1

COS ^2 A= 1-SIN^2 A

= 1-(2/3)^2

=1-4/9

=9-4/9

=5/9

we got COS^2 A=5/9

but we need COS A

COS A = ✓(5/9)

COS A =√5/3

TAN A =SIN A/COS A

= (2/3)/(√5/3)

=TAN A = 2/√5

COT A = √5/2 (bcoz COT A=1/TAN A)