alleryStart learning →tan(45°) equals:
- ∞
- 0
- 1
- √3
Show answer and solution
Correct answer: C. 1
We have tan(45°) = sin(45°)/cos(45°).
That is tan(45°) = (1/√2)/(1/√2).
So tan(45°) = 1.
Indian Navy SSR (Sailor) Sequences and Series Gp — practice questions
Explore 49 free Sequences and Series Gp questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 49.
tan(45°) equals:Read the answer and worked solution →The angle 90° in radians is:Read the answer and worked solution →The function f(x) = tan x has vertical asymptotes at:Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →Match each inverse function to its principal value branchRead the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Domain checkRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →True or false: reading the tableRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Complete the rule about restricting a domainRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →True or false: principal valuesRead the answer and worked solution →Match each identity to the condition it needsRead the answer and worked solution →Assertion and reason: identitiesRead the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →Trace how trigonometry travelledRead the answer and worked solution →True or false: the historical noteRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →
Worked practice questions
The angle 90° in radians is:
- $\pi$ (full half-circle)
- $2\pi$ (full circle)
- $\pi/2$ (quarter circle)
- $\pi/4$ (one eighth)
Show answer and solution
Correct answer: C. $\pi/2$ (quarter circle)
180° = π radians.
So 90° = π/2 radians.
Quarter of a full circle (2π).
The function f(x) = tan x has vertical asymptotes at:
- $x = n\pi$ (multiples of π)
- $x = 2n\pi$ (multiples of 2π)
- $x = n\pi/2$ (all multiples of π/2)
- $x = (2n+1)\pi/2$ (odd multiples of π/2)
Show answer and solution
Correct answer: D. $x = (2n+1)\pi/2$ (odd multiples of π/2)
tan x = sin x / cos x.
Undefined where cos x = 0, which is at x = (2n+1)π/2 = π/2, 3π/2, 5π/2, ...
Period of tan x is π (NOT 2π).
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