
Prove that:
i) =
Answer
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Hint: Arc of any trigonometry functions represents its inverse function. The inverse function of a number gives the value of angle in radian then it can be changed into degree by multiplying the value of radian to . the formula for is .
Complete step-by-step answer:
Given equation is,
Evaluate further
Here, we can write in the form of
We will take LCM of the above expression
Now LHS is equal to the RHS, hence proved
Note: In such types of questions, we take left hand side expression and solve the expression to get the right hand side expression. Apply formula and simplify the expression in order to get the right hand side expression. Use direct values of the inverse function to get the answer in the desired unit.
Complete step-by-step answer:
Given equation is,
Evaluate further
Here, we can write
We will take LCM of the above expression
Now LHS is equal to the RHS, hence proved
Note: In such types of questions, we take left hand side expression and solve the expression to get the right hand side expression. Apply formula and simplify the expression in order to get the right hand side expression. Use direct values of the inverse function to get the answer in the desired unit.
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