Question

7. If sin x = a and sec x = b, find the value of cot x.
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Answer 1

Given

sinX = a

sec X = b

To find

value of cot X

Solution

we know that

sec = 1/cos

Now

sin X = a ____(2)

sec X = 1/cos x=b ___(1)

Multiply Equation 1 and 2

Sin X /cos X = ab

Tan X = ab

we know

Tan X = 1/cotx

therefore

cot X = 1/ab

Answer 2

Given

sinX=a

secX=b

To find

Value of cotX

Solution

we know that

sec=1/cos

Now

SinX=a______2

SecX=1/cos x=b---------1

Muliply equation 1 and 2

since X/cos x=ab

TanX=ab

We know,

Tab X=1/cotx

therefore,

cot x= 1/ab