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Posted date: 16:59
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MATHEMATICS,
Period of Function and Equation,
SHORTCUT,
TIPS & TRICKS
Period and Domain of Trigonometry function
Here you find all types of ticks regarding to
"Period and Domain of Trigonometry function".This is very easy chapter in trigonometric portion.
I am going to share you a simple tricks which I remembered and it helped me a lot.So let's start.
Period and Domain of Trigonometry function
→ How to find "Period" of any function
| For Example-1 → Find the period of sin5x?? |
| General formula → :we now 2 ∏ is the period of Sin.So the general formula of sinax is 2 ∏ /a. |
| Answer → :In above example,here a=5 so we put this into general formula(2 ∏ /a).We get 2 ∏ /5 which is the answer of this question. |
| For Example-2 → Find the period of tan5x?? |
| General formula → :we now ∏ is the period of Tan.So the general formula of tanax is ∏ /a. |
| Answer → :In above example,here a=5 so we put this into general formula( ∏ /a).We get ∏ /5 which is the answer of this question. |
→ How to find period of "Remaining Function"
1-Cot and Tan → These two function Follow the same rule because their period is ∏ |
| 2-Sin,Cosec,Cos and Sec → These two function Follow the same rule because their period is 2 ∏ |
→ How to find period of an "Equation Function"
| For Example-3 → Find the period of sin5x +cos5x?? |
| Trick → if the period of both function(given equation) are same then period of any one function is the period of function |
| Answer → The period of this equation is 2 ∏ /5. |
| For Example-4 → Find the period of tan5x +cos5x?? |
| Trick → if the period of both function(given equation) are different then we first find the period of both function .After finding the period of both function we simply add it.So,we will get period of an equation |
Answere → The period of this equation is 3 ∏ /5.
| For Example → Find the period of sin2x +cos5x?? |
| Trick → if the period of both function are same but answer of function is different.Like in given example period of sin2x is ∏ and cos5x is 2 ∏ /5.So,we add both the period of function.After adding the function we get the period of required equation |
| Answer → The period of this equation is 7 ∏ /5. |
I hope you get the idea of solving these types of equations.Insh ALlah i will share you more tips which i remember.
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