1. If 3cotA= 4 ,check whether 1- tan2A = cos 2 A – sin 2 A or not
1+ tan2A
2. If tanA= a/b, find the value of cosA + sinA
cosA – sinA
3. If 3 tanA = 4, find the value of 4cosA – sinA
2cosA + sinA
4. If 3cotA = 2, find the value of 4sinA – 3cosA
2sinA + 6cosA
5. If tanA = a/b, prove that asinA – bcosA = a2 – b2
asinA + bcosA a2 + b2
6. If secA = 13/5, show that 2sinA – 3cosA = 3
4sinA – 9cosA
7. If cosA = 12/13, show that sinA(1 - tanA)= 35/156
1).
It is given that 3cot A = 4
Or, cot A =
Consider a right triangle ABC, right-angled at point B.
If AB is 4k, then BC will be 3k, where k is a positive integer.
In ΔABC,
(AC)2 = (AB)2 + (BC)2
= (4k)2 + (3k)2
= 16k2 + 9k2
= 25k2
AC = 5k
cos2 A − sin2 A =
∴
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