4 years ago

If sin Ѳ = cos 40, find the value Ѳ

Mathematics

2 answers:

Jet001 [13]4 years ago

7 0

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x)

Given

cos40° = sin(90 - 40)° = sin50° ⇒ Θ = 50°

Andrej [43]4 years ago

7 0

Answer:

Ѳ = 50

Step-by-step explanation:

Sin Ѳ = cos 40

$Ѳ = \sin ^{ - 1} ( \cos(40) )$

Simplify

$Ѳ = sin^{ - 1} (0.7660444431) \\Ѳ = 50$

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