Math, asked by sundarigurujala123, 5 hours ago

In a right angled triangle ABC, C = 90° then cos? A + cos²B =​

Answers

Answered by dishashetty574
1

Answer:

As ∠C=90

o

∴cosA=

AB

BC

cosB=

AB

AC

cos

2

A+cos

2

B=

AB

2

BC

2

+

AB

2

AC

2

=

AB

2

BC

2

+AC

2

From △ABC,

By Pythagoras Theorem,

AB

2

=AC

2

+BC

2

⇒cos

2

A+cos

2

B=

AB

2

AB

2

∴cos

2

A+cos

2

B=1

solution

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