Hello Readers,

In this post, we are sharing an important

In this post, We will explain you an easy method for solving this kind of question. So, Are you ready?

Don't panic. We are not going to tell you the same thing i.e find the number of terms using the A.P formula. Instead, we are providing you an easy formula for finding the number of terms.

That's it guys. Isn't that simple? Now I will explain the same through examples:

If you have any doubt or question, feel free to ask the same through below given comment form.

In this post, we are sharing an important

**Trigonometry Shortcut Trick**using which, you would be able to solve a typical trigonometry question within few seconds.**Typical Questions with which this trick Works**- Find the value of Sin
^{2}1+Sin^{2}3 + Sin^{2}5+ Sin^{2}7...........Sin^{2}89 - Find the value of Sin
^{2}2+Sin^{2}4 + Sin^{2}6+ Sin^{2}8...........Sin^{2}88

In this post, We will explain you an easy method for solving this kind of question. So, Are you ready?

**Steps Involved in Shortcut Method****Step-1 : Finding the total Number of terms**Don't panic. We are not going to tell you the same thing i.e find the number of terms using the A.P formula. Instead, we are providing you an easy formula for finding the number of terms.

**No. of Terms =**[(Last term - First Term)/Common Difference] +1**Step-2 : Finding the Answer****If you have managed to find the total number of terms, it will take no time in finding your answer. The formula for finding the answer is :****Answer =**No. of Terms / 2That's it guys. Isn't that simple? Now I will explain the same through examples:

**Examples with Explanation**

Q1.Find the value of Sin

= [(89- 1)/ 2] +1 = 45

Answer = No. of Terms / 2

Q2.Find the value of Sin

= [(88- 2)/ 2] +1 =44

Answer = No. of Terms / 2

Similarly, you can solve all questions of this kind. For practice, try solving the below given questions yourself:

^{2}1+Sin^{2}3 + Sin^{2}5+ Sin^{2}7...........Sin^{2}89**Sol :**Total Number of Terms = [(Last term - First Term)/Common Difference] +1= [(89- 1)/ 2] +1 = 45

Answer = No. of Terms / 2

**= 45/2**Q2.Find the value of Sin

^{2}2+Sin^{2}4 + Sin^{2}6+ Sin^{2}8...........Sin^{2}88**Sol :**Total Number of Terms = [(Last term - First Term)/Common Difference] +1= [(88- 2)/ 2] +1 =44

Answer = No. of Terms / 2

**= 44/2 =22**

Similarly, you can solve all questions of this kind. For practice, try solving the below given questions yourself:

- Find the value of Sin
^{2}13+Sin^{2}15 + Sin^{2}17+ Sin^{2}19...........Sin^{2}77 - Find the value of Sin
^{2}17+Sin^{2}19 + Sin^{2}21+ Sin^{2}23...........Sin^{2}75

If you have any doubt or question, feel free to ask the same through below given comment form.

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