Question

If sin theta=4/5 then find the value of cosec theta/1+cot theta?

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The value is 0.7142

Step-by-step explanation:

$Sin \theta = \frac{4}{5}$

$Sin \theta = \frac{Perpendicular}{Hypotenuse}$

On comparing :

Perpendicular = 4

Hypotenuse = 5

$Hypotenuse^2 = Perpendicular^2 +Base^2$

$5^2 = 4^2 + Base^2$

$\sqrt{5^2-4^2}= Base$

3 = Base

$Cosec \theta = \frac{Hypotenuse}{Perpendicular}=\frac{5}{4}$

$Cot \theta = \frac{Base}{Perpendicular}=\frac{3}{4}$

Value :$\frac{cosec \theta }{1+cot \theta}=\frac{\frac{5}{4}}{1+\frac{3}{4}}=0.7142$

Hence The value is 0.7142

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