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while finding range of any trigonometric function can we find it by finding the range of two parts of given trigonometric function & then addind them,i.e we have to add to inequilities is it possible?

while finding range of any trigonometric function can we find it by finding  the range of two parts of given  trigonometric function  & then addind them,i.e we have to add to inequilities is it possible?

Grade:12th pass

1 Answers

askIITians Diwali Gift
74 Points
5 years ago
No this method is wrong.
for example you have sinx + cosx
 According to your method range must be 2
You have to convert it into a single trig function. Multiply and divide by root 2...the eqn comes in the form of sin(x+ 45)...Therefore you can see that the range is root 2

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