Question

If
sin a-3 sina +2
cos² a
=1, then
& can be:​

Answer 1

Answer:

First Of All mention correct subject not english this is of maths !!

Explanation:

Trigonometry is the study of the relationship between the sides and angles of a triangle.

An equation involving trigonometry ratios of an angle is called is called a trigonometric identity, if it is true for all values of the angles involved. For any acute angle θ, we have the following identities.

i) sin² θ + cos² θ = 1 , ii) 1 + tan² θ = sec² θ , iii) cot² θ +1 = cosec² θ, iv) tan θ = sin θ/cos θ , v) cot θ = cos θ / sin θ.

SOLUTION:

Mistake in the question: It is 2sin³A

Given:

SinA - 2sin³A/ 2cos³ - cosA =tanA

LHS:

= sin A ( 1- 2sin²A)/cosA(2cos²A -1)

= sinA[1-2(1-cos²A)] / cosA(2cos²A -1)

[ sin²A + cos²A= 1 sin²A= 1-cos²A]

= sinA[1-2 + 2cos²A)] / cosA(2cos²A -1)

= sinA[2cos²A - 1] / cosA(2cos²A -1)

= sin A / cos A = tan A = RHS

[ tan A = sinA/cosA]

LHS = RHS

HOPE THIS WILL HELP YOU....