Question

5.
(i) If 1 + cos^2 A = 3 cos Asin A , find the value of cotA
1​

Answer 1

Answer :

Cot a = 3-tan a/2.

Refer to the steps in the given attachment for the solution.

Trigonometric identity used in this,

[Sin² a+cos ²a =1]

There are three main Trigonometric identities such as :

=>Sin²a+cos²a=1

=>Sec²a-1=tan²a

=>Cot²+1=cosec²a

In trigonometry there are standard angles from (0° to 90°).

Trigonometry is only based on right angled triangles.

Answer 2

Answer:

Step-by-step explanation:1=cos²A =3cosAsinA

sin²A+cos²A+cos²A=3cosAsinA

sin²A=3cosAsinA-2cos²A

sin²A=cosA(3sinA-2cosA)

sinA/cosA=3sinA-2cosA/sinA

tanA=3-2cosA

2cotA=3-tanA

cotA=3-tanA/2

hope it helps you