Tamil Nadu SSLC (Class 10) Trigonometry — practice questions

Explore 3 free Trigonometry questions in Tamil Nadu SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometry questions and exercises with answers

Showing questions 1–3 of 3.

Match each identity to its short formRead the answer and worked solution →In an equation written as y = 3 x - 6, the dependent variable isRead the answer and worked solution →If the sum of the first $n$ terms of an AP is $S_n=4n-n^2$, what is the $n$th term of the AP?Read the answer and worked solution →

Worked practice questions

Match each identity to its short form

Read exercise and reference answers

Matching pairs

Left
sin²θ + cos²θ
Right
1
Left
1 + tan²θ
Right
sec²θ
Left
1 + cot²θ
Right
cosec²θ

Instructions

Tap a trigonometric expression, then tap the simpler form that it equals.

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In an equation written as y = 3 x - 6, the dependent variable is

x
y
both x and y
neither x nor y

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Correct answer: B. y

1. Section 26.2 explains dependent and independent variables. 2. Here y is written as the subject of the equation. 3. Its value depends on the value chosen for x. 4. So y is the dependent variable. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section 26.2_

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If the sum of the first $n$ terms of an AP is $S_n=4n-n^2$, what is the $n$th term of the AP?

$5-2n$
$4-n$
$3-2n$
$5-n$

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Correct answer: A. $5-2n$

The $n$th term is $a_n=S_n-S_{n-1}$. Here, $$S_{n-1}=4(n-1)-(n-1)^2=4n-4-(n^2-2n+1)= -n^2+6n-5.$$ So $$a_n=(4n-n^2)-(-n^2+6n-5)=5-2n.$$ Hence the $n$th term is $5-2n$.

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