If sinθ = x and secθ = y, then tanθ is equal to
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We are given:
sinθ = x and secθ = y.
Step 1: Recall the trigonometric identities
1. The definition of secθ is:
secθ = 1/cosθ.
Therefore, cosθ = 1/secθ = 1/y.
2. The definition of tanθ is:
tanθ = sinθ / cosθ.
Step 2: Substitute the values of sinθ and cosθ
From the problem, sinθ = x and cosθ = 1/y. Substituting these into the formula for tanθ:
tanθ = sinθ / cosθ
= x / (1/y)
Step 3: Simplify the expression
Dividing by 1/y is equivalent to multiplying by y:
tanθ = x * y
= xy
Step 4: Final Answer
Thus, tanθ is equal to xy.
The correct answer is:
a) xy
This question related to Chapter 8 Mathematics Class 10th NCERT. From the Chapter 8 Introduction to Trigonometry. Give answer according to your understanding.
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https://www.tiwariacademy.in/ncert-solutions-class-10-maths-chapter-8/