MP Board · Class 10 · Mathematics · Introduction to TrigonometryIf $\sin \theta = \cos \theta$, then the value of $\theta$ is (where $\theta$ is an acute angle):
📊Student Analytics & Stats
Total Attempts: 1
Accuracy Rate: 100%
Step-by-Step Solution
हमें $\sin \theta = \cos \theta$ दिया गया है। दोनों पक्षों को $\cos \theta$ से भाग देने पर, हमें $\frac{\sin \theta}{\cos \theta} = 1$ प्राप्त होता है, जिसका अर्थ है $\tan \theta = 1$। मानक त्रिकोणमिति सारणी में, $\tan 45^\circ = 1$ होता है। इसलिए, $\theta = 45^\circ$ है।
Detailed Options Breakdown
Option : $0^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Trigonometry.
Option 1: $30^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Trigonometry.
Option 2: $45^\circ$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $60^\circ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Trigonometry.
💡 Study Guide: This question tests core syllabus concepts from Introduction to Trigonometry. For formulas, key summaries, and mock exam reference guides, read the full Introduction to Trigonometry Revision Notes.