meredith48034
meredith48034 meredith48034
  • 26-08-2020
  • Mathematics
contestada

solve for θ. sinθ = cos(θ+10)

a. 6°
b.66°
c.84°
d.40°​

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tramserran
tramserran tramserran
  • 26-08-2020

Answer:  d. 40°

Step-by-step explanation:

Use the Cofunction Identity:    sin Ф = cos (90° - Ф)

sin Ф = cos (Ф + 10) = cos (90° - Ф)

⇒                   Ф + 10 = 90 - Ф

                   2Ф + 10 = 90

                          2Ф  = 80

                             Ф = 40

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