If cosec theta is equal to root 5, find the value of cot theta -tan theta
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Answered by
13
Answer :
Given that,
cosecθ = √5
⇒ sinθ = 1/(√5)
∴ cosθ = [√{(√5)² - 1²}]/(√5)
= {√(5 - 1)}/(√5)
= (√4)/(√5)
= 2/(√5)
So, tanθ
= sinθ/cosθ
= {1/(√5)}/{2/(√5)}
= 1/2
∴ cotθ
= 1/tanθ
= 2
∴ cotθ - tanθ
= 2 - 1/2
= (4 - 1)/2
= 3/2
#MarkAsBrainliest
Given that,
cosecθ = √5
⇒ sinθ = 1/(√5)
∴ cosθ = [√{(√5)² - 1²}]/(√5)
= {√(5 - 1)}/(√5)
= (√4)/(√5)
= 2/(√5)
So, tanθ
= sinθ/cosθ
= {1/(√5)}/{2/(√5)}
= 1/2
∴ cotθ
= 1/tanθ
= 2
∴ cotθ - tanθ
= 2 - 1/2
= (4 - 1)/2
= 3/2
#MarkAsBrainliest
Answered by
1
Answer:
I also don't know
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