Class 10 Exam > Class 10 Questions > Find the value of (cosec^2 -1) tan^2?
Start Learning for Free
Find the value of (cosec^2 -1) tan^2?
Most Upvoted Answer
Find the value of (cosec^2 -1) tan^2?
The answer is 1....
we know 1+cot^2=cosec^2
then cot^2=cosec^2-1
so now cot^2×tan^2
>>>1/tan^2×tan^2=1[because tan and cot are complementary angles]
sooo the answer is 1
we know 1+cot^2=cosec^2
then cot^2=cosec^2-1
so now cot^2×tan^2
>>>1/tan^2×tan^2=1[because tan and cot are complementary angles]
sooo the answer is 1
Community Answer
Find the value of (cosec^2 -1) tan^2?
Problem: Find the value of (cosec^2 -1) tan^2.
Solution:
To solve the problem, we need to use the trigonometric identity:
cosec^2θ -1 = cot^2θ
Using this identity, we can simplify the expression:
(cosec^2θ -1)tan^2θ = cot^2θtan^2θ
Now, we need to use another trigonometric identity:
cot^2θ = 1/tan^2θ
Substituting this in the above equation, we get:
(cosec^2θ -1)tan^2θ = (1/tan^2θ)tan^2θ
Simplifying the expression, we get:
(cosec^2θ -1)tan^2θ = 1
Therefore, the value of (cosec^2θ -1)tan^2θ is 1.
Conclusion: The value of (cosec^2θ -1)tan^2θ is 1.
Solution:
To solve the problem, we need to use the trigonometric identity:
cosec^2θ -1 = cot^2θ
Using this identity, we can simplify the expression:
(cosec^2θ -1)tan^2θ = cot^2θtan^2θ
Now, we need to use another trigonometric identity:
cot^2θ = 1/tan^2θ
Substituting this in the above equation, we get:
(cosec^2θ -1)tan^2θ = (1/tan^2θ)tan^2θ
Simplifying the expression, we get:
(cosec^2θ -1)tan^2θ = 1
Therefore, the value of (cosec^2θ -1)tan^2θ is 1.
Conclusion: The value of (cosec^2θ -1)tan^2θ is 1.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Find the value of (cosec^2 -1) tan^2?
Question Description
Find the value of (cosec^2 -1) tan^2? 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 Find the value of (cosec^2 -1) tan^2? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of (cosec^2 -1) tan^2?.
Find the value of (cosec^2 -1) tan^2? 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 Find the value of (cosec^2 -1) tan^2? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of (cosec^2 -1) tan^2?.
Solutions for Find the value of (cosec^2 -1) tan^2? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Find the value of (cosec^2 -1) tan^2? defined & explained in the simplest way possible. Besides giving the explanation of
Find the value of (cosec^2 -1) tan^2?, a detailed solution for Find the value of (cosec^2 -1) tan^2? has been provided alongside types of Find the value of (cosec^2 -1) tan^2? theory, EduRev gives you an
ample number of questions to practice Find the value of (cosec^2 -1) tan^2? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup