Question

8. If 3 cotA= 4, check whether
1 - tan? A
2
1 + tan A
cos? A-sin-A or not.​

Answer 1

Explanation:

Given= 3cotA=4

cotA =4/3

and, cotA=B

P

So, B=4

P=3

By Pythagorean theorem

H = 5

Now, tan^2A =(3/4)^2

=9/16

cos^2A = (P/H)^2

=(3/5)^2

=9/25

sin^2A= (B/H)^2

=(4/5)^2

=16/25

ATQ,

1-tan^2A = cos^2A - sin^2A

1+tan^2A

1-9/16 = 9/25 - 16/25

1+9/16

16-9 = -7/25

16

16+9

16

7/25 = 7/25