Class 10 Exam > Class 10 Questions > If sinƟ = x and secƟ = y , then tanƟ is (a) x...
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If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy?
Most Upvoted Answer
If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/x...
Sin=Ɵ
secƟ=y
1/coso=y
coso =1/y
now tan Ɵ =sinƟ/cosƟ
=x/1/y
=Xy
so the answer is a
secƟ=y
1/coso=y
coso =1/y
now tan Ɵ =sinƟ/cosƟ
=x/1/y
=Xy
so the answer is a
Community Answer
If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/x...
Given:
- sinθ = x
- secθ = y
To find:
- Value of tanθ
Explanation:
To find the value of tanθ, we need to use the relationship between sinθ, cosθ, and tanθ.
Step 1: Find the value of cosθ
We know that secθ is the reciprocal of cosθ. So, we have:
secθ = y
Taking the reciprocal on both sides, we get:
1/cosθ = y
Simplifying, we get:
cosθ = 1/y
Step 2: Use the Pythagorean identity
The Pythagorean identity states that sin^2θ + cos^2θ = 1. We can substitute the values of sinθ and cosθ from the given information to solve for θ.
sin^2θ + cos^2θ = 1
x^2 + (1/y)^2 = 1
x^2 + 1/y^2 = 1
Step 3: Rearrange the equation
x^2 = 1 - 1/y^2
x^2 = (y^2 - 1)/y^2
Step 4: Find the value of x/y
Taking the square root on both sides, we get:
x = √((y^2 - 1)/y^2)
x/y = √(y^2 - 1)/y
Step 5: Find the value of tanθ
We know that tanθ = sinθ/cosθ. Substituting the values of sinθ and cosθ, we have:
tanθ = x/(1/y)
tanθ = xy
Answer:
The value of tanθ is xy, so option (a) xy is the correct answer.
- sinθ = x
- secθ = y
To find:
- Value of tanθ
Explanation:
To find the value of tanθ, we need to use the relationship between sinθ, cosθ, and tanθ.
Step 1: Find the value of cosθ
We know that secθ is the reciprocal of cosθ. So, we have:
secθ = y
Taking the reciprocal on both sides, we get:
1/cosθ = y
Simplifying, we get:
cosθ = 1/y
Step 2: Use the Pythagorean identity
The Pythagorean identity states that sin^2θ + cos^2θ = 1. We can substitute the values of sinθ and cosθ from the given information to solve for θ.
sin^2θ + cos^2θ = 1
x^2 + (1/y)^2 = 1
x^2 + 1/y^2 = 1
Step 3: Rearrange the equation
x^2 = 1 - 1/y^2
x^2 = (y^2 - 1)/y^2
Step 4: Find the value of x/y
Taking the square root on both sides, we get:
x = √((y^2 - 1)/y^2)
x/y = √(y^2 - 1)/y
Step 5: Find the value of tanθ
We know that tanθ = sinθ/cosθ. Substituting the values of sinθ and cosθ, we have:
tanθ = x/(1/y)
tanθ = xy
Answer:
The value of tanθ is xy, so option (a) xy is the correct answer.
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If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy?
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If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy?.
If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sinƟ = x and secƟ = y , then tanƟ is (a) xy (b) x/y (c) y/x (d) 1/xy?.
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