Advertisements
Advertisements
Question
State for any acute angle θ whether sin θ increases or decreases as θ increases
Options
Increases
Decreases
Solution
For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.
APPEARS IN
RELATED QUESTIONS
If sin x + cos y = 1 and x = 30°, find the value of y
Solve the following equation for A, if 2cos2A = 1
Solve the following equation for A, if 2 sin A = 1
If `sqrt(2) = 1.414 and sqrt(3) = 1.732`, find the value of the following correct to two decimal places tan60°
In the given figure, PQ = 6 cm, RQ = x cm and RP = 10 cm, find
a. cosθ
b. sin2θ- cos2θ
c. Use tanθ to find the value of RQ
If ΔABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC =7units, find ∠B, AB and AC.
In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
a. AB is `sqrt(3)` times of BC.
B. BC is `sqrt(3)` times of BC.
Evaluate the following: sin31° - cos59°
Evaluate the following: sec16° tan28° - cot62° cosec74°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin65° + cot59°
