HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the angle between hour-hand and minute-hand in a clock at thirty five past one.

Find the angle between hour-hand and minute-hand in a clock at quarter to six.

Find the angle between hour-hand and minute-hand in a clock at 2 : 20

Find the angle between hour-hand and minute-hand in a clock at 10 : 10.

Answer the following :

The angles of a quadrilateral are in A.P. and the greatest angle is double the least. Find angles of the quadrilateral in radian.

State the signs of tan 380°

State the signs of cot 230°

State the signs of sec 468°

State the signs of cos4^c and cos4°. Which of these two functions is greater?

State the quadrant in which θ lies if :

sin θ < 0 and tan θ > 0

State the quadrant in which θ lies if :

cos θ < 0 and tan θ > 0

If cos θ = `12/13`, 0 < θ < `pi/2`, find the value of `(sin^2theta - cos^2theta)/(2sinthetacostheta), 1/(tan^2theta)`

Using tables evaluate the following :

4 cot 45° – sec² 60° + sin 30°

Using tables evaluate the following :

`cos^2 0 + cos^2  pi/6 + cos^2  pi/3 + cos^2  pi/2`

Find the other trigonometric functions:

If cos θ = `-3/5` and 180° < θ < 270°.

Find the other trigonometric functions if sec A = `-25/7` and A lies in the second quadrant.

Find the other trigonometric functions:

If cot x = `3/4`, x lies in the third quadrant.

Find the other trigonometric functions:

If tan x = `(-5)/12`, x lies in the fourth quadrant.

If 2 sinA = 1 = `sqrt(2)` cosB and `pi/2` < A < `pi`, `(3pi)/2` < B < `2pi`, then find the value of `(tan"A" + tan"B")/(cos"A" - cos"B")`

If `sin"A"/3 = sin"B"/4 = 1/5` and A, B are angles in the second quadrant then prove that 4cosA + 3cosB = – 5.