Find values for θ that make each statement true (show steps)

1) sinθ = cos (25)

θ =

2) sin (θ/3 + 10) = cos θ

θ =

Step-by-step explanation:

1. sinФ = cos 25

25 ° is in the between 0 and 90°

therefore it can simply represent

cosФ = sin (90-Ф) = sin (90 - 25) = sin 65

2. sin (Ф/3 + 10) = cos Ф

cos Ф = sin (90 - Ф)

sin (Ф/3 + 10) = cos Ф

sin (Ф/3 + 10) = cos Ф = sin (90-Ф)

Ф/3+10=90-Ф

10 Ф+3/30 = 90-Ф

10 Ф+3 = 30 (90-Ф)

10 Ф+3 = 2700-30 Ф

10 Ф+30 Ф=2700-3

40 Ф = 2697

Ф = 2697 / 40 = 67.425 ≅ 67.4°