CDS || Elementary Mathematics || Trigonometry Previous Year Questions || Quiz

If sin θ + cos θ =  then what is sin⁶θ + cos⁶θ + 6 sin²θ cos²θ equal to?

What is the least value of 9 sin²θ + 16 cos²θ?

If cos47° + sin 47° = k, then what is the value of cos² 47° – sin² 47°?

If cosec θ – sin θ = p³ and sec θ – cos θ = q³, then what is the value of tan θ?

If cos²x + cos x = 1, then what is the value of sin¹²x + 3sin¹⁰x + 3sin⁸x + sin⁶x?

If 0 < θ < 90^o, sinθ = 3/5 and x = cotθ, then what is the value of 1 + 3x + 9x² + 27x³ + 81x⁴ + 243x⁵?

What is the value of ?

What is the maximum value of 3 sin θ – 4?

A piece of wire is in the form of a sector of a circle of radius 20 cm, subtending an angle 150^o at the centre. If it is bent in the form of a circle, then what will be its radius?

Consider the following statements :

1) The equation 2 sin²θ – cos θ + 4 = 0 is possible for all θ.

2) tan θ + cot θ cannot be less than 2, where 0 < θ < .

Which of the above statements is/are correct?