Advertisements
Advertisements
Question
State whether the following are true or false. Justify your answer.
cot A is not defined for A = 0°.
Options
True
False
Solution
This statement is False.
Explanation:
cot A is not defined for A = 0°
As,
cot A = `cos A/sin A`
cot 0° = `(cos 0°)/(sin 0°)`
= `1/0`
= 0°
Hence, the given statement is true.
APPEARS IN
RELATED QUESTIONS
An equilateral triangle is inscribed in a circle of radius 6 cm. Find its side.
`(2 tan 30°)/(1+tan^2 30°)` = ______.
State whether the following is true or false. Justify your answer.
The value of cos θ increases as θ increases.
Evaluate the following :
sin 35° sin 55° − cos 35° cos 55°
Express cos 75° + cot 75° in terms of angles between 0° and 30°.
Prove that tan 20° tan 35° tan 45° tan 55° tan 70° = 1
Evaluate tan 35° tan 40° tan 50° tan 55°
ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratios: sin 45°
If sin x = cos x and x is acute, state the value of x
find the value of :
3sin2 30° + 2tan2 60° - 5cos2 45°
ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratio: cos 45°
Prove that:
4 (sin4 30° + cos4 60°) -3 (cos2 45° - sin2 90°) = 2
If sin x = cos y; write the relation between x and y, if both the angles x and y are acute.
Given A = 60° and B = 30°,
prove that: tan (A - B) = `(tan"A" – tan"B")/(1 + tan"A".tan"B")`
Without using tables, evaluate the following: cosec245° sec230° - sin230° - 4cot245° + sec260°.
Prove that: sin60°. cos30° - sin60°. sin30° = `(1)/(2)`
Find the value of x in the following: tan x = sin45° cos45° + sin30°
If A = 30° and B = 60°, verify that: cos (A + B) = cos A cos B - sin A sin B
If tan(A - B) = `(1)/sqrt(3)` and tan(A + B) = `sqrt(3)`, find A and B.
If sin 30° = x and cos 60° = y, then x2 + y2 is