Question

यदि 3 cotA=4 जांच कीजिए कि 1 - tanA /1+tanA= cosA-cosA​

Answer 1

Answer:

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Answer 2

Answer:

Answer

Given 3 cotA = 4.

cotA = 4/3.-------(1).

We know that tan theta = 1/cot theta

tan A = 1/cotA

= 1/4/3

= 3/4.------(2)

We know that cosec^2 theta = 1+ cot^2 = theta

= 1 + (4/3)^2

= 1 + 16/9

= 25/9.

cosec theta = 5/3.--------(3)

We know that cosec theta = 1/sin theta =

(5/3) = 1/sin theta

5sin theta = 3 =

sin theta = 3/5---------(4)

We know that cos^2 theta = 1- sin^2 theta =

= 1 - (3/5)^2

= 1 - 9/25

= 25 - 9/25

= 16/25

cos A = 4/5.-----------(5)

Now, LHS:

1-tan A

1+tanA

1-()? 1+)2

1 1+ 9 16 16

16-9 16+9

7 25

Now, RHS: (4)&(5)

cos? A - sinA

() -

16 25 9 25

16-9 25

LHS = RHS

Step-by-step explanation:

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