Introduction to Trigonometry-Important Questions

1.   Prove that

2.   If tanA=n tanB and sin A =m sin B, prove that n² - 1

3.   Prove that following identity, where the angle involved is acute andgle for whhc the expression are expressed

        

        using identity cosec² A= 1+cot²A

4.   If x sin³|+ y cos³|=sin|cos| and xsin|=ycos|, prove x²+y²=1.

5.   Find the value of (sin°45- cos°45)

6.   If tan|+sin|=m and tan|- sin|=n, show that (m²-n²)=4√mn

7.   If cosec |-sin |=l and sec |- cos |=m, prove that l²m²(l²+m²+3)=1

8.   If sin A=1/2, then find the value ofcos A.

9.   If cosec |=3x and cot |=3/x. then find the value of (x²-1/x²)

10.   What is the value of

11.   Given cosec|=4/3, calculate all other trigonometric ratios.

12.