HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Solve the following equations for which solution lies in the interval 0° ≤ θ < 360°

cos 2x = 1 − 3 sin x

Solve the following equations:
sin 5x − sin x = cos 3

Solve the following equations:
2 cos²θ + 3 sin θ – 3 = θ

Solve the following equations:
cos θ + cos 3θ = 2 cos 2θ

Solve the following equations:
sin θ + sin 3θ + sin 5θ = 0

Solve the following equations:
sin 2θ – cos 2θ – sin θ + cos θ = θ

Solve the following equations:
sin θ + cos θ = `sqrt(2)`

Solve the following equations:
`sin theta + sqrt(3) cos theta` = 1

Solve the following equations:
cot θ + cosec θ = `sqrt(3)`

Solve the following equations:
`tan theta + tan (theta + pi/3) + tan (theta + (2pi)/3) = sqrt(3)`

Solve the following equations:
cos 2θ = `(sqrt(5) + 1)/4`

Solve the following equations:
2cos ²x – 7 cos x + 3 = 0

Choose the correct alternative:
If tan 40° = λ, then `(tan 140^circ - tan 130^circ)/(1 + tan 140^circ *  tan 130^circ)` =

Choose the correct alternative:
If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)

Choose the correct alternative:
If tan α and tan β are the roots of x² + ax + b = 0 then `(sin(alpha + beta))/(sin alpha sin beta)` is equal to

Choose the correct alternative:
If f(θ) = |sin θ| + |cos θ| , θ ∈ R, then f(θ) is in the interval

Choose the correct alternative:
`(cos 6x + 6 cos 4x + 15cos x + 10)/(cos 5x + 5cs 3x + 10 cos x)` is equal to

Choose the correct alternative:
If sin α + cos α = b, then sin 2α is equal to

Find the sum of the first 20-terms of the arithmetic progression having the sum of first 10 terms as 52 and the sum of the first 15 terms as 77

Find the sum up to the 17^th term of the series `1^3/1 + (1^3 + 2^3)/(1 + 3) + (1^3 + 2^3 + 3^3)/(1 + 3 + 5) + ...`