Trigonometry identities are represented using sine, cosine, tangent, cosecant, cotangent and secant.
The trigonometry identity is (c) [tex]\mathbf{cot\theta \times sin\theta \times sec\theta = \frac{cos\theta}{sin\theta} \times sin\theta \times \frac{1}{cos\theta}}[/tex]
The trigonometry identity is given as:
cotθ * sinθ * secθ = 1
In trigonometry,
cotθ = cosθ/sinθ
secθ = 1/cosθ
So, we have:
[tex]\mathbf{cot\theta \times sin\theta \times sec\theta = \frac{cos\theta}{sin\theta} \times sin\theta \times \frac{1}{cos\theta}}[/tex]
Cancel out sinθ
[tex]\mathbf{cot\theta \times sin\theta \times sec\theta = \frac{cos\theta}{1} \times 1 \times \frac{1}{cos\theta}}[/tex]
[tex]\mathbf{cot\theta \times sin\theta \times sec\theta = cos\theta \times \frac{1}{cos\theta}}[/tex]
Cancel out cosθ
[tex]\mathbf{cot\theta \times sin\theta \times sec\theta = 1 \times \frac{1}{1}}[/tex]
Rewrite as
[tex]\mathbf{cot\theta \times sin\theta \times sec\theta = 1 \times 1}[/tex]
Multiply
[tex]\mathbf{cot\theta \times sin\theta \times sec\theta = 1 }[/tex]
Hence, the trigonometry identity is (c)
Read more about trigonometry identities at:
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