Sec20°/csc70°
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Answers
Answered by
12
Answer:
sec20° ÷ cosec70° = 1
Step-by-step explanation:
As the name suggests 'csc' or 'cosec' or 'cosecant' is the complementary angle of secant.
So, when sec θ is given as 20°, we know that its compliment would be:
90° - 70° = 20°
This means that sec θ = cosec (90° - θ)
According to the given Question,
sec 20° = cosec (90° - 20°)
⇒ sec 20° = cosec 70°
Dividing by cosec 70° on both sides,
→ sec 20° ÷ cosec 70° = cosec 70° ÷ cosec 70°
→ sec 20° ÷ cosec 70° = 1
Answered by
100
SOLUTION
sec (20)
_______
csc (70)
sec (20)
= _____
sec (90 – 70)
sec (20)
= _______
sec (20)
= 1 is the answer.
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