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Tamil Nadu SSLC (Class 10) Introduction to Trigonometry — practice questions

Explore 48 free Introduction to 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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Introduction to Trigonometry questions and exercises with answers

Showing questions 1–30 of 48.

From a standard deck of 52 playing cards, what is the probability of drawing a heart?Read the answer and worked solution →Which property of conditional probability is correct?Read the answer and worked solution →Using standard limits, evaluate $\lim_{x\to 0}\dfrac{a^x-1}{x}$ for $a>0$.Read 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 →Which expression is equal to $\sqrt{\dfrac{1+\sin A}{1-\sin A}}$ for an acute angle $A$?Read the answer and worked solution →Choose the correct value of $\dfrac{1+\tan^2 A}{1+\cot^2 A}$.Read the answer and worked solution →Choose the correct value of $(\sec A+\tan A)(1-\sin A)$.Read the answer and worked solution →Choose the correct value of $9\sec^2 A-9\tan^2 A$.Read the answer and worked solution →Which of the following is true?Read the answer and worked solution →If $\sin A=\frac{1}{3}$ for an acute angle $A$, what is the value of $\cos A$?Read the answer and worked solution →In a right triangle $ABC$, right-angled at $B$, if $ an A=\frac{4}{3}$, then $ rac{\sin A}{\cos A}$ is equal toRead the answer and worked solution →A point on an object lies below the horizontal level of an observer. The angle formed by the line of sight with the horizontal is called theRead the answer and worked solution →In a right triangle, for an acute angle θ, sin θ is defined as:Read the answer and worked solution →In a right triangle, for an acute angle θ, cos θ is defined as:Read the answer and worked solution →In terms of sine and cosine, tan θ equals:Read the answer and worked solution →The fundamental trigonometric identity is:Read the answer and worked solution →The value of sin 30° is:Read the answer and worked solution →The value of cos 60° is:Read the answer and worked solution →The value of tan 45° is:Read the answer and worked solution →The value of sin 90° is:Read the answer and worked solution →The value of cos 0° is:Read the answer and worked solution →The identity $1 + \tan^2\theta$ equals:Read the answer and worked solution →The expression $\sin(90^\circ - \theta)$ is equal to:Read the answer and worked solution →The value of tan 0° is:Read the answer and worked solution →The reciprocal of sin θ is:Read the answer and worked solution →In a right triangle with respect to acute angle A, sin A is defined as:Read the answer and worked solution →In a right triangle, if sin A = 3/5, what is cosec A?Read the answer and worked solution →In a right triangle with hypotenuse 13 and opposite (to A) = 5, what is cos A?Read the answer and worked solution →If tan A = 4/3, find sin A.Read the answer and worked solution →In a right triangle, cos A · sec A equals:Read the answer and worked solution →

Worked practice questions

From a standard deck of 52 playing cards, what is the probability of drawing a heart?

  1. $\dfrac{1}{2}$
  2. $\dfrac{1}{4}$
  3. $\dfrac{13}{52}$
  4. Both B and C are correct
Show answer and solution

Correct answer: D. Both B and C are correct

A standard deck has 13 hearts out of 52 cards. So the probability is $\dfrac{13}{52}=\dfrac14$. **Hence both options B and C represent the same correct value, so D is the intended correct choice.**

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Which property of conditional probability is correct?

  1. $P(A'/B)=P(A/B)$
  2. $P(A'/B)=1-P(A/B)$
  3. $P(A'/B)=1-P(B/A)$
  4. $P(A'/B)=P(A\cap B)$
Show answer and solution

Correct answer: B. $P(A'/B)=1-P(A/B)$

Within the reduced sample space where $B$ has occurred, the events $A$ and $A'$ are complementary. **Therefore their conditional probabilities add to 1, so $P(A'/B)=1-P(A/B)$.**

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Using standard limits, evaluate $\lim_{x\to 0}\dfrac{a^x-1}{x}$ for $a>0$.

  1. $0$
  2. $1$
  3. $\ln a$
  4. $a$
Show answer and solution

Correct answer: C. $\ln a$

A fundamental limit is $\lim_{x\to 0}\dfrac{a^x-1}{x}=\ln a$. It is closely related to the derivative of $a^x$ at $x=0$.

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More Mathematics topics

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