Grade 8Algebra
If tan A + cot A = 4; then find tan^4 A + cot^4 A= ??
If tan A + cot A = 4; then find tan^4 A + cot^4 A= ??
2 Answers
Arun
Approved Tutor Answer8 Years agoDear student
tan(a) + cot(a) = 4
[tan(a) + cot(a)]² = 16
tan²(a) + 2tan(a).cot(a) + cot²(a) = 16
tan²(a) + 2 + cot²(a) = 16
tan²(a) + cot²(a) = 14
[tan²(a) + cot²(a)]² = 196
tan^4(a) + 2tan²(a).cot²(a) + cot^4(a) = 196
tan^4(a) + 2 + cot^4(a) = 196
tan^4(a) + cot^4(a) = 194
[tan(a) + cot(a)]² = 16
tan²(a) + 2tan(a).cot(a) + cot²(a) = 16
tan²(a) + 2 + cot²(a) = 16
tan²(a) + cot²(a) = 14
[tan²(a) + cot²(a)]² = 196
tan^4(a) + 2tan²(a).cot²(a) + cot^4(a) = 196
tan^4(a) + 2 + cot^4(a) = 196
tan^4(a) + cot^4(a) = 194
Regards
Arun (askIITians forum expert)
Arun
Dear student
tan(a) + cot(a) = 4
[tan(a) + cot(a)]² = 16
tan²(a) + 2tan(a).cot(a) + cot²(a) = 16
tan²(a) + 2 + cot²(a) = 16
tan²(a) + cot²(a) = 14
[tan²(a) + cot²(a)]² = 196
tan^4(a) + 2tan²(a).cot²(a) + cot^4(a) = 196
tan^4(a) + 2 + cot^4(a) = 196
tan^4(a) + cot^4(a) = 194
Regards
Arun (askIITians forum expert)
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