Question

guys solve step by step process ​

Answer 1

Answer:

sin x = (- √7/4)

Step-by-step explanation:

given sec x = 4/3 x lies in 4th quadrant

to find sin x

sec x = hyp/base

=> hyp = 4 and base = 3

therefore by Pythagoras theorem, perpendicular = √16 - 9 = √7

sin x = perpendicular/hypotenuse

sin x = √7/4

but since x lies in 4th quadrant, all trig ratios except cos and sec are negative in 4th quadrant.

hence sin x = (- √7/4)

Answer 2

in 4th quadrant sec is +ve whereas sin is -ve

as , sec x = 4/3

=> hypotenuse = 4

and base = 3

=> perpendicular = √7( by PGT )

now, sin x = perpendicular/hypotenuse

sin x = √7/4