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ISI MStat 2019 PSA Problem 15 | Trigonometry Problem

This is the problem from ISI MStat 2019 PSA Problem 15. First, try it yourself and then go through the sequential hints we provide.

Trigonometry - ISI MStat Year 2019 PSA Question 15


How many solutions does the equation cos ^{2} x+3 \sin x \cos x+1=0 have for x \in[0,2 \pi) ?

  • 1
  • 3
  • 4
  • 2

Key Concepts


Trigonometry

Factorization

Check the Answer


Answer: is 4

ISI MStat 2019 PSA Problem 15

Precollege Mathematics

Try with Hints


Factorize and Solve.

\cos ^{2} x+3 \sin x \cos x + 1 = (2\cos x + \sin x)(\cos x +\sin x) = 0.
tanx = -2, tanx = -1.
Draw the graph.

Trigonometry problem graph - ISI MStat 2019 PSA Problem 15
Fig:1

So, if you see the figure you will find there are 4 such x for x \in[0,2 \pi).

Similar Problems and Solutions



Outstanding Statistics Program with Applications

Outstanding Statistics Program with Applications

Subscribe to Cheenta at Youtube


This is the problem from ISI MStat 2019 PSA Problem 15. First, try it yourself and then go through the sequential hints we provide.

Trigonometry - ISI MStat Year 2019 PSA Question 15


How many solutions does the equation cos ^{2} x+3 \sin x \cos x+1=0 have for x \in[0,2 \pi) ?

  • 1
  • 3
  • 4
  • 2

Key Concepts


Trigonometry

Factorization

Check the Answer


Answer: is 4

ISI MStat 2019 PSA Problem 15

Precollege Mathematics

Try with Hints


Factorize and Solve.

\cos ^{2} x+3 \sin x \cos x + 1 = (2\cos x + \sin x)(\cos x +\sin x) = 0.
tanx = -2, tanx = -1.
Draw the graph.

Trigonometry problem graph - ISI MStat 2019 PSA Problem 15
Fig:1

So, if you see the figure you will find there are 4 such x for x \in[0,2 \pi).

Similar Problems and Solutions



Outstanding Statistics Program with Applications

Outstanding Statistics Program with Applications

Subscribe to Cheenta at Youtube


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