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If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan³⁰ θ + cot ²⁹ θ.

The Value of (sin38˚)/(cos52˚) + (cos12˚)/(sin78˚) - 4cos²60˚ is

If x = (sin 30 ° + cos 30 ° )/sec 60 ° , then find the value of 4x.

Find the simplified value of:

(tan 40 º  +  tan 20 º )/(1 -  tan 40 º  tan 20 º)

If 2ycosθ = x sinθ and 2xsecθ – ycosecθ = 3, then x ² + 4y ² = ?

If sin x + cos x = √2 sin x, then the value of sin x - cos x is:

If 2 sec 3x = 4, then the value of x:

The value of (sin 60 º cos 30 º - cos 60 º sin 30 º)  is equal to: