−2√3
−√32
√34
4√3
Correct answer is B
cos(x+y)=cosxcosy−sinxsiny
cos(π2+π3)=cosπ2cosπ3−sinπ2sinπ3
= (0×12)−(1×√32)
= 0−√32=−√32
−12
−14
14
12
Correct answer is C
log93=log9(912)=12log99=12
12+2x=1⟹2x=12
x=14
Express 75° in radians, leaving your answer in terms of π.
5π12
3π4
5π6
7π6
Correct answer is A
180° = \pi rads
1° = \frac{\pi}{180}
\therefore 75° = \frac{\pi}{180} \times 75
= \frac{5\pi}{12}
Simplify \frac{x^{3n + 1}}{x^{2n + \frac{5}{2}}(x^{2n - 3})^{\frac{1}{2}}}
0
-\frac{1}{2}
1
10
Correct answer is C
No explanation has been provided for this answer.