If ∠A and ∠B are complementary then ∠A + ∠B = _____
WBBSE
Class X
Mathematics
Trigonometric Ratio of Complementary Angle
01 Mark
2023
90º
Explanation
Two angles are called complementary angles if the sum of their measures is 90 degrees.
So, by definition:
∠A and ∠B are complementary
⇒ ∠A + ∠B = 90°.
Example: If ∠A = 30°, then ∠B = 60°.
30° + 60° = 90°.
Therefore, the answer is 90°.
Related Questions
More WBBSE Easy level questions
1/12
Q.
State True or False: The values of cos 36° and sin 54° are equal.
A.
True Explanation sin 54° = sin (90° - 36°) = cos 36°
Q.
If tan θ = 8/15 find the value of sin θ.
A.
tan θ = ⇒ p = 8k and b = 15k Pythagoras...
Q.
If tan θ cos 60° = \frac{\sqrt{3}}{2} then the value of sin(θ – 15°) is...
A.
. Explanation tan θ cos 60° = or, tan θ × =...
Q.
If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.
A.
sin (θ + 30°) = cos 15° or, sin (θ + 30°)...
Q.
If tan 2A = cot(A – 30°), then find the value of sec(A + 20°)
A.
tan2A = cot(A − 30°), We have tan2A = cot(A − 30°)...
Q.
If 0° < θ < 90° then sin θ < sin²θ.
A.
False Explanation: We know that for 0° < θ < 90°, 0...
Q.
Find x, if sin x = cos (x – 20°)
A.
cos (x - 20°) = sin x cos (x - 20°) =...
Q.
If sin 17° = x\over y then show that sec 17° – sin 73° =...
A.
Given: sin 17° = Formula: sin² θ + cos² θ = 1...
Q.
If r cosθ = 2√3 and r sinθ = 2, then find the value of...
A.
r cosθ = 2√3 ----- (i) r sinθ = 2 ----- (ii)...
Q.
State True/False: “The equal chords of a circle are at equal distances from the centre...
A.
True Explanation: In a circle, chords that are equal in length are...
Q.
Write a difference between the geometric angle and trigonometrical angle.
A.
Geometric angle: It is measured in a positive direction from the initial...
Q.
Find the value of angle in degree made by the tangent of a circle with...
A.
The tangent to a circle is always perpendicular to the radius at...