HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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.

If 2cos²θ − 11cosθ + 5 = 0 then find possible values of cosθ.

Answer the following:

State the signs of cosec 520°

Answer the following:

State the signs of cot 1899°

Answer the following:

State the signs of sin 986°

Answer the following:

State the quadrant in which θ lies if tan θ < 0 and sec θ > 0

Answer the following:

State the quadrant in which θ lies if sin θ < 0 and cos θ < 0

Answer the following:

State the quadrant in which θ lies if sin θ > 0 and tan θ < 0

Answer the following:

Which is greater sin(1856°) or sin(2006°)?

Answer the following:

Which of the following is positive? sin(−310°) or sin(310°)

Answer the following:

Show that 1 − 2sinθ cosθ ≥ 0 for all θ ∈ R.