Question

if sin a is equal to 1 by 3 X and 10 is equal to 1 by 3 then find the value of x square minus one by x square​

Answer 1

Step-by-step explanation:

Given  

if sin a is equal to 1 by 3 x and tan a is equal to x/3 then find the value of x square minus one by x square

• Given sin A = 1/3x and tan A = x/3
• So tan A = x/3
• So sin A / cos A = x/3
• So  1/3x / cos A = x/ 3
• So 1/xcos A = x
• Now cos A = 1/x^2 ------------1
• So x^2 = 1/cos A
• Now we need to find the value of x^2 – 1/x^2
•                                   = 1 / cos A – cos A
•                                 = (1 – cos^2 A ) / cos A
•                                = sin^2A / Cos A
•                                 = sin A. tan A
•                                = (1/3x) x x / 3

                                 = 1 / 9

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Answer 2

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Step-by-step explanation: