If tan A + cot A = 4,

Question:

If tan A + cot A = 4, then write the value of tan4 A + cot4 A.

Solution:

$\tan A+\cot A=4$

Squaring both the sides :

$\tan ^{2} A+\cot ^{2} A+2=16$

$\Rightarrow \tan ^{2} A+\cot ^{2} A=14$

Squaring both the sides again:

$\tan ^{4} A+\cot ^{4} A+2=196$

$\Rightarrow \tan ^{4} A+\cot ^{4} A=194$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now