Verify the identity: sin 2x/sin x - cos 2x/cos x = sec x Solve the equation...

Question

Question

Answer 1

Answer #1

Ans 3

From the double angle formula

Sin2x = 2 Sinx Cosx

Cos2x = 2 Cos²x - 1

Plug these formula into the given question

(2 Sinx Cosx/ Sinx) - [(2 Cos²x - 1)/Cosx] = sec x

(2 Cosx) - [(2Cos²x/Cosx) - (1/Cosx)] = sec x

(2 Cosx) - [(2Cosx) - (sec x)] = sec x

2Cosx - 2Cosx + sec x = sec x

sec x = sec x

Ans 4

$tan \theta = \sqrt 3$

$tan \theta =$ tan 60°

$\theta$ = 60°

Answer 2

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