Mathematics

Test your understanding of this lesson Associate angles | Example-1:-

1)
If \(\sin\theta-\cos\theta\)=0,and \(\pi<\theta<\frac{3\pi}{2}\),then \(\theta\) is
  • \(\frac{5\pi}{4}\)
  • \(\frac{3\pi}{4}\)
  • \(\frac{7\pi}{6}\)
  • \(\pi\)
2)
If cosec\(\alpha\)- cot\(\alpha\)= \(\frac{1}{2}\) and alies in the 1st quadrant,then cos\(\alpha\) is equal to:
  • \(\frac{3}{5}\)
  • \(\frac{5}{3}\)
  • -\(\frac{3}{5}\)
  • -\(\frac{5}{3}\)
3)
If n is an even positive integer ,then sin\(x\)+\(\sin(\pi+x)\)+\(\sin(2\pi+x)\)+........ upto n terms is
  • 0
  • sin\(x\)
  • -sin\(x\)
  • \((sinx)^{n}\)
4)
For any integer n,\(tan[n.\frac{\pi}{2}+(-1)^{n}\frac{\pi}{4}]\) is
  • 1
  • -1
  • 0
  • -\(\sqrt{3}\)
5)
If \(\theta\)= \(\frac{17\pi}{3}\), then the value of (tan⁡\(\theta\)-cot\(\theta\)) is
  • \(\frac{2}{3}\)
  • -\(\frac{2}{3}\)
  • 0
  • 1

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