Math, asked by muddassirm908, 5 months ago

if Tan a+ cot a = 2 ,then what is the value of tan²a+cot a²​

Answers

Answered by ravi2303kumar
2

Answer:

tan²A + cot²A = 2

Step-by-step explanation:

tanA+cotA = 2

on squaring both sides,

(tanA + cotA)² = 2²

tan²A + 2 tanA.cotA + cot²A = 4

tan²A + 2 (1) + cot²A = 4

tan²A + cot²A = 4-2 = 2

tan²A + cot²A = 2

Answered by psupriya789
4

a^2+b^2= (a+b)^2 -2ab

tanA +cot A= 2

tan^2A+cot^2A= (tanA +cotA)^2 - 2 (tanA )(cotA)\\\\tan^2A+cot^2A= (2)^2 - 2 tanA .\frac{1}{tanA} \\\tan^2A+cot^2A= 4 - 2 (1)\\\\tan^2A+cot^2A= 2

HOPE IT HELPS U

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