Question

If cosA=12/13, then verify that sinA(1- tanA) = 35/156

Answer 1

cosA = 12/13 = b/h

⇒b = 12 and h = 13

from Pythagoras theorem,

hypotenuse² = perpendicular ² + base²

[here, p = perpendicular, h =hypotenuse, b = base ]

p² = h² - b² = 13² - 12² = 169 - 144 = 25

⇒p = 5

now, sinA = p/h = 5/13

and tanA = p/b = 5/12

LHS = sinA(1 - tanA)

= 5/13 × (1 - 5/12)

= 5/13 × (12 - 5)/12

= 5/13 × 7/12

= (5 × 7)/(13 × 12)

= 35/156 = RHS

hence, LHS = RHS

Answer 2

Answer:

35/156 RHS

Step-by-step explanation: