Question
If X = 15°, find the value of: sin²(4X)
+ cos²(3X) - tan²(2X)Solution
= sin²(60°) + cos²(45°) - tan²(30°)
= (√3/2)² + (1/√2)² - (1/√3)²
= 3/4 + 1/2 - 1/3 = 11/12
The lengths of three medians in a triangles are 30 cm, 40 cm, 50 cm. What is the area of that traingle (in cm 2 )?
A boy runs 3 laps around a circular ground with a diameter of 28 m, traveling along its circumference at a speed of 36 km/h. Calculate the time he takes...
The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 7:5, then the value of the ∠C is
ABCD is a square. P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. Angle SPQ equal to ?
In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 24 cm2. What is the area of ∆ADE in cm2 ?
In a circle with center O and radius 10 cm, two chords AB and CD are parallel and 6 cm apart. If the length of chord AB is 16 cm, what is the length of ...
If I is the incentre of ΔABC , if ∠BAC = 800 , then what is the measure of ∠BIC?
The angles of a triangle are in parallel series, the ratio of the degrees of the minimum angle and the radians of the maximum angle is 60 :Ï€ , then how...
The perimeters of 2 similar triangles ∆ABC and ∆PQR are 18 cm and 12 cm respectively. If PQ= 8 cm, then AB is?
The length of the each side of an equilateral triangle is 21√3. The area of incircle, (cm 2 ) is
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