Question
 If sin θ = 3/5 and cos θ = 4/5, find the value of
(2tan² θ + 3cot² θ).Solution
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
Directions: In each question below, four words printed in bold type are given. These are numbered (A), (B), (C) and (D). One these words printed in bol...
- In each sentence below four words have been printed in bold which are numbered (1), (2), (3) and (4) One of these words may be misspelt or inappropriate in...
No sooner did the bell rang than the students ran out of the class.
1) Camouflage
2) Conveneince
3) Sabortage
4) Expident
- In each sentence below, four words have been printed in bold which are numbered (1), (2), (3), and (4). One of these words may be misspelt or inappropriate...
- Identify the misspelt word among the following given options:
Identify the INCORRECT spelling
Select the CORRECTLY spelt word.
1) embellish
2) frugol
3) enormos
4) gregayrious
- Select the INCORRECTLY spelt word.
