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Given: sin θ = 3/5, cos θ = 4/5, First, let's calculate tan θ and cot θ. tan θ = sin θ / cos θ = (3/5) / (4/5) = 3/4, cot θ = 1 / tan θ = 4/3. Now, substitute into the expression: 2tan² θ + 3cot² θ = 2(3/4)² + 3(4/3)² = 2(9/16) + 3(16/9) = 18/16 + 48/9 = 9/8 + 16/3 To add these, take the LCM of 8 and 3, which is 24: = (9×3)/24 + (16×8)/24 = 27/24 + 128/24 = 155/24 ≈ 6.46
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
32 * 366 * 6 * 2 * 134 = 20
If P denotes ‘multiplied by’, T denotes ‘subtracted from’, M denotes ‘added to’ and B denotes ‘divided by’, then 50 B 5 P 1...
If + means ÷, × means –, – means ×, ÷ means +, then 32 + 16 – 13 x 18 ÷ 2 = ?
What will be the value of expression if the numbers/digits ‘(42)’ and ‘(18)’ are interchanged?
54 ÷ 42 × 10 + 18 – 12 + 20
...Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
44 * 392 * 7 * 11 ...
Which among the given operators should replace the “%” (in the same order) in the given expression below:
8 % 13 % 8 % 69 % 36 % 9
Rachit walks a distance of 5 Km towards North, then turns to his left and walks for 3 Km. He again turns left and walks for 5 Km. At this point he turns...
If x stands for ‘addition’, ÷ stands for ‘subtraction’, + stands for ‘multiplication’, and – stands for ‘division’, then 30 x 40 – ...
If '+' means '÷', '-' means ' X ', ' X ' means '+', '÷' means '-', what will come in place of the question mark(?)?
34 X 272 + 34 - 8 ÷ 25 = ?...
Select the correct combination of mathematical signs that can sequentially replace the “@” sign and balance the following equation.
16@5@4@2@...