Prove that- Sec2A = 1 +tan2A
Answers
Answered by
2
Step-by-step explanation:
this is a identity of trigonometry
please follow and mark as brain lest
Answered by
3
Answer:
Answer
LHS=1+tan
2
A=1+
cos
2
A
sin
2
A
=
cos
2
A
sin
2
A+cos
2
A
=
cos
2
A
1
=sec
2
A=RHS
Step-by-step explanation:
You might be aware of the property that ->
sin^2A + cos^2A = 1
Divide both the sides of the above equation by cos^2A =>
tan^2A +1 = sec^2A
[since sin^2A/cos^2A = tan^2A and 1/cos^2A = sec^2A]
So , sec^2A = tan^2A +1
=> sec^2A - tan^2A = 1
which proves the required property
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