Science (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

If \[\cos P = \frac{1}{7}\text{ and }\cos Q = \frac{13}{14}\], where P and Q both are acute angles. Then, the value of P − Q is

Find the equation of the parabola if the focus is at (0, −3) and the vertex is at (−1, −3)

Find the equation of the parabola if the focus is at (a, 0) and the vertex is at (a', 0) 

Find the equation of the parabola if  the focus is at (0, 0) and vertex is at the intersection of the lines x + y = 1 and x − y = 3. 

If cot (α + β) = 0, sin (α + 2β) is equal to

The value of \[\cos^2 \left( \frac{\pi}{6} + x \right) - \sin^2 \left( \frac{\pi}{6} - x \right)\] is

If tan θ₁ tan θ₂ = k, then \[\frac{\cos \left( \theta_1 - \theta_2 \right)}{\cos \left( \theta_1 + \theta_2 \right)} =\]

If sin (π cos x) = cos (π sin x), then sin 2x = ______.

If \[\tan\theta = \frac{1}{2}\] and \[\tan\phi = \frac{1}{3}\], then the value of \[\tan\phi = \frac{1}{3}\] is 

The value of cos (36° − A) cos (36° + A) + cos (54° + A) cos (54° − A) is

If tan (π/4 + x) + tan (π/4 − x) = a, then tan² (π/4 + x) + tan² (π/4 − x) =

If tan (A − B) = 1 and sec (A + B) = \[\frac{2}{\sqrt{3}}\], the smallest positive value of B is

If A − B = π/4, then (1 + tan A) (1 − tan B) is equal to 

The maximum value of \[\sin^2 \left( \frac{2\pi}{3} + x \right) + \sin^2 \left( \frac{2\pi}{3} - x \right)\] is

If cos (A − B) \[= \frac{3}{5}\] and tan A tan B = 2, then

If tan 69° + tan 66° − tan 69° tan 66° = 2k, then k =

If \[\tan\alpha = \frac{x}{x + 1}\] and \[\tan\alpha = \frac{x}{x + 1}\], then \[\alpha + \beta\] is equal to

Express the following as the sum or difference of sines and cosines:

2 sin 3x cos x

Express the following as the sum or difference of sines and cosines:
2 cos 3x sin 2xa