YO
if tan A + CotA=2
then tanza+Cot?A=?
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Answered by
1
Answer:
tan²A + cot²A = 2
Step-by-step explanation:
I think you have mistyped the question
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
1
Answer:
the required number value of tan ^2A+cot^2Ais 2
Step-by-step explanation:
it is given that the numeric value of tan A+cot A is 2
square on both sides
= ( tan A+cot A)^2=2^2
= tan^2A+ cotA +2tan A cot A=4
form the properties of trigonometry. we know that cot A=/tanA:
= tan^2+cot^2A+2(tan A ×1/tan A)=4
=tan^2A+cot ^2A+2(1)=4
= tan^2A+cot^A+2=4
= tan^2A+=cot^2A=4-2
=tan^2A+cot^2A=2
hence the required number value of tan ^2A+cot^2A is 2.
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