Introduction to Trigonometry
CH08 Question Bank
CBSE_CH08_QUESTION_BANK
Grade 10
Question:
If $\tan A=1$, find the value of $A$ and hence find $\sin A + \cos A$.
Step-by-Step Solution
Key Concept: Recall the standard angle for which tangent equals 1, then use the standard values.
$\tan A=1\Rightarrow A=45^\circ$. [1.0 Mark]
$\sin45^\circ+\cos45^\circ=\dfrac{1}{\sqrt2}+\dfrac{1}{\sqrt2}=\dfrac{2}{\sqrt2}=\sqrt2$. [1.0 Mark]
Correct Answer:
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