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7sin²θ + 3cos²θ = 4sin²θ + 3sin²θ+3cos²θ = 4 4sin²θ + 3(sin²θ + cos²θ) = 4 4sin²θ + 3 (1) = 4 4sin²θ = 4 - 3 = 1 4sin²θ = 1 sin²θ = 1/4 → sinθ = 1/2 sin30° = 1/2 Hence, θ = 30°
If '+' means '÷', '-' means ' X ', ' X ' means '+', '÷' means '-', what will come in place of the question mark(?)?
34 X 272 + 34 - 8 ÷ 25 = ?...
Which two signs should be interchanged to make the following equation correct?
38 ÷ 26 – 2 + 5 × 4 = 45
If in a certain code language ‘+’ represents ‘×’, ‘–’ represents ‘+’, ‘×’ represents ‘÷’ and ‘÷’ represents ‘–’....
If 'A @ B' means 'A + B', 'A * B' means 'A X B', 'A %B' means 'A - B' and 'A & B' means 'A ÷ B', then what is the value of the expression ‘45 * 63 & ...
Select the odd group of numbers.(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digi...
Which two signs should be interchanged in the following equation to make it correct:
490 ÷ 70 + 5 × 28 – 15 = 48
In a given code form:
P + Q means P - Q
P ÷ Q means P × Q
P × Q means P + Q
P - Q means P ÷ Q
What is the correct...
Select the correct combination of mathematical signs that can sequentially replace '*' sign and balance the equation given below.
56 * 112 * 4 * 15 * 5 * 9
If x stands for ‘addition’, ÷ stands for ‘subtraction’, + stands for ‘multiplication’, and – stands for ‘division’, then 30 x 40 – ...
If the following interchanges are made in signs, then what would be the value of the following expression?
48 X 63 + 2 ÷ 9 - 35
Interch...
