Question
If tan A = 1 and tan B = √ 3, what is the value of cos
A . cos B - sin A . sin B?Solution
Given, tan A = 1 ⇒ A = 45° Also given, tan B = √ 3 ⇒ B = 60° ∴ cos A . cos B - sin A . sin B = cos 45° . cos 60° - sin 45° . sin 60° = 1/ √ 2 * 1/2 - 1/ √ 2 . √ 3/2 = (1 - √ 3)/2 √ 2
47.87% of 749.76 + 35.11% of 399.76 = √? + 23.15 × 20.87
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(?)2 = (5.99)2 + (7.88)2 + 43.99
Train 'P' travels at a speed of 45 km/h and crosses train 'Q' in 15 seconds while moving in opposite directions. Determine the speed of train 'Q' if the...
`[(7.99)^2 - (13.001)^2 + (4.01)^3]^2=` ?
A number is first increased by 35% and then decreased by 35%. If the net change in the number is 302.5, then find the original number.
A bag contains red, green, and blue balls, with a total of 16 balls. The probability of drawing two blue balls in one draw is 3/8. How many blue balls a...
35.05% of 14.87 × (13.02 – ?) + 30.19 = 188.7
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
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