sin(A + B). sin(A - B)
= [sin(A) cos(B) + cos(A) sin(B)] [sin(A) cos(B) - cos(A) sin(B)]
= sin²Acos²A cos² Asin²A
= sin²A [1 - sin²B] - [1 - sin²A] sin²B
= sin²A - sin² Asin²B - sin2B + sin² Asin²B
sin²A - sin²B
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishA ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.
Simplify: cosecθ(1 – cosθ)(cosecθ + cotθ)
If cot A + cos A = p, cot A - cos A = q, then what is the value of p2- q2?
What is the value of sin 20° cos 10° + cos 20° sin 10°?
If sin x = and x ∈ (0, ), then find
Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30o and 60o, respectively. Find the distance between the two boats.
A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.
Find the value of
The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b2 m and a2 m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.
If sin θ + cos θ = √3, then the value of tan θ + cot θ is:
Suggested Test Series
Suggested Test Series
