Question

find cosx if tanx cscx=2

A)2
B)square root 2
C)square root 2/2
D)1/2

Answer 1

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Answer 2

The value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2

What is Trigonometry?

From the question, we are to determine the value of cosx

From the given information,

tanx cscx=2

Recall that,

$tan(x )= \frac{sin (x)}{cos(x)}$

and

$csc(x) = \frac{1}{sin(x)}$

Then,

Substitute these values into the given equation

tanx cscx = 2 becomes

$\frac{sin (x)}{cos(x)} \times \frac{1}{sin(x)} = 2$

$\frac{1}{cos(x)} = 2$

∴ $cos(x) = \frac{1}{2}$

Hence, the value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2

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