Question
What is the simplified value of the given
expression? 3(sin² 30° + sin² 60°) + 6sin 45° - (3sec 60° + cot 45°)Solution
3(sin ² 30° + sin ² 60°) + 6sin 45° - (3sec 60° + cot 45°)
Using, sin(90° - A) = cos A
= 3{sin ² 30° + sin ² (90 - 30)°} + 6 x √2/2 - {3 x 2 + 1}
= 3(sin ² 30° + cos ² 30°) + 3 - 7
Using, sin ² A + cos ² A = 1
= 3 x 1 + 3 - 7 = 3 + 3 - 7 = -1
Statements:Â Â Â Â Â Â Â
No Planet is a Moon
Some Moon are Star
All Axis are Planet
Only a few Sun are Axis
Conclusi...
Statements:
Only Orange are Kiwi.
Some Oranges are Cherries.
Only a few Papaya is Cherry.
Conclusions:
I. At least So...
Statements:Â
Only poles are wires
Only few poles are ornaments
All ornaments are copper
Conclusion:
I. All po...
Statements:
Some penguin are parrot
No parrot is a eagle
No penguin is a sparrow
Conclusions:
I. Some sparrow are not...
Statements:
Some cars are scooters.
All scooters are bikes.
Conclusions:
I. Â Some cars are bikes.
II. Some scoot...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
In the question below some statements are given followed by three conclusions I, II, and III. You have to take the given statements to be true even if...
- Statements:
Some coins is dollar
Only dollar is euro
Conclusions:
I. Some euro can be coin
II. All dollar can b... Statements:Â
Only a few Classmate are Navneet.
Only a few Navneet are Luxor.
All Luxor are Unigo.
Some Luxor are not Caml...
Statements:
All carpet are towels.
Some mat are carpet.
Conclusions:
I. Some mat are towels.
II. No mat is carpet.
