Question

Solve the equation sin(S - 20%) = cos(429) for x, where 0 ОА.

68
OB
28
ОС,
62
OD 22

Answer 1

A)
`68`

Explanation:

`sin(x^\circ-20^\circ)=cos(42^\circ),0<x<90`

`sin(x^\circ-20^\circ)=cos(42^\circ)`

`sin(x^\circ-20^\circ)=sin(90^\circ-42^\circ)`

`sin(x^\circ-20^\circ)=sin(48^\circ)`

`x^\circ-20^\circ=48^\circ`

`x^\circ=68^\circ`

Helpful Tips:

Cofunction Identity -->
`sin(90^\circ-x^\circ)=cos(x^\circ)`