If x tan 45° cos 60° = sin 60° cot 60°, then x is equal to
Excel in Class 10th Maths with NCERT solutions and MCQ-based questions from Chapter 8 Introduction to Trigonometry. Practice exercise questions short-answer problems and detailed explanations to master concepts like trigonometric ratios identities and their applications. These resources are aligned with the CBSE syllabus for thorough exam preparation. Regular practice will enhance your problem-solving skills and help you score higher in board exams. Access step-by-step solutions and revision notes tailored to support students aiming for success. Begin practicing today!
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We are given the equation:
x tan 45° cos 60° = sin 60° cot 60°.
Step 1: Substitute the trigonometric values
Using standard trigonometric values:
– tan 45° = 1,
– cos 60° = 1/2,
– sin 60° = √3/2,
– cot 60° = 1/√3.
Substitute these values into the equation:
x (1) (1/2) = (√3/2) (1/√3).
Step 2: Simplify both sides
Simplify the left-hand side:
x (1/2) = x/2.
Simplify the right-hand side:
(√3/2) (1/√3) = (√3 / √3) / 2 = 1/2.
Thus, the equation becomes:
x/2 = 1/2.
Step 3: Solve for x
Multiply through by 2 to isolate x:
x = 1.
Step 4: Final Answer
The value of x is 1.
The correct answer is:
a) 1
This question pertains to Chapter 8 of the Class 10th NCERT Mathematics textbook, which introduces the topic of Trigonometry. Provide the answer based on your understanding of the chapter.
For more please visit here:
https://www.tiwariacademy.in/ncert-solutions-class-10-maths-chapter-8/