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Range of Trigonometric Ratios from 0 to 90 Degrees

If 3 tanθ=3 s...

Question

If $\sqrt{3} \tan θ = 3 \sin θ$ , find the value of sin²θ − cos²θ.

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Solution

Given:

We have to find the value of .

Therefore,

Hence, the value of the expression is $\frac{1}{3}$ .

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Similar questions

\sqrt{3}

tan θ = 3sin θ then (sin²θ – cos²θ) = ?

(a)

\frac{1}{3}

\frac{1}{\sqrt{3}}

\sqrt{3}

\frac{2}{\sqrt{3}}

Q. Question 9
If

\sqrt{3} t a n θ = 1

, find the value of

s i n^{2} θ - c o s^{2} θ

\sqrt{3} \tan θ = 3 \sin θ

, find the value of sin θ.

\sqrt{3} tan θ = 3 sin θ

, find the value of

{sin}^{2} θ - {cos}^{2} θ

c o s e c Θ = \sqrt{5}

find the value of

2 + \frac{1}{{sin}^{2} Θ} - \frac{{cos}^{2} Θ}{{sin}^{2} Θ}

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Range of Trigonometric Ratios from 0 to 90 Degrees

Standard X Mathematics

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