Question
Select the set in which the numbers are related in the
same way as are the numbers of the given set. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (22, 81, 13) (16, 1, 15)Solution
22 - √81 = 22 - 9 = 13 16 - √1 = 16 - 1 = 5 Similarly, 12 - √49 = 12 - 7 = 5.
If tanθ – cotθ = a and cosθ + sinθ = b, then (b2 –1)(a2 + 4) = ?
If cos4 B - sin4 B =
In a right triangle ABC, angle B = 90°. If tan A = 3/4 and the length of the hypotenuse is 25 cm, find the area of the triangle.
A 16-meter-long rope is stretched from the ground to the top of a house, forming a 30° angle with the ground. Determine the height of the house.
What is the value of cosec30° sec30°?
If (tan 8θ · tan 2θ = 1), then find the value of (tan 10θ).
Simplify the following trigonometric expression:
14 tan 25° cot 65° − 6 cos 39° sec 51°If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.