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- List the given numbers and units.
- Choose the formula that matches the asked value.
- Simplify carefully and compare with options.
Correct Answer: A
Correct Answer: A
Method / Topic: Trigonometry
The answer follows from the arithmetic relation between the given values.
Short Explanation
Detailed Explanation
Correct Answer: A
Method / Topic: Trigonometry
Identify the applicable trigonometric value, identity, reciprocal relation, or right-triangle ratio.
The standard value of tan 30° is 1/√3.
CHECK: Substitution into the original expression or right-triangle relation confirms the result.
EXAM TIP: Memorize standard trigonometric values and choose the shortest valid identity before calculating.
Do not interchange sine with cosine or tangent with cotangent, and keep opposite and adjacent sides correctly identified.
PRACTICAL EXAMPLE: The same trigonometric relation can be used to determine an unknown side or angle in a right triangle.
Therefore, option A is correct.
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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Shortcut used, common trap, and the fastest solving route
- List the given numbers and units.
- Choose the formula that matches the asked value.
- Simplify carefully and compare with options.
Find the value of tan 30°.
Explanation
Correct Answer: A
Method / Topic: Trigonometry
The answer follows from the arithmetic relation between the given values.
Short Explanation
Detailed Explanation
Correct Answer: A
Method / Topic: Trigonometry
Identify the applicable trigonometric value, identity, reciprocal relation, or right-triangle ratio.
The standard value of tan 30° is 1/√3.
CHECK: Substitution into the original expression or right-triangle relation confirms the result.
EXAM TIP: Memorize standard trigonometric values and choose the shortest valid identity before calculating.
Do not interchange sine with cosine or tangent with cotangent, and keep opposite and adjacent sides correctly identified.
PRACTICAL EXAMPLE: The same trigonometric relation can be used to determine an unknown side or angle in a right triangle.
Therefore, option A is correct.
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