Trigonometry Questions Practice Set 1st

Here I am presenting the first practice set of Trigonometry Questions on the special demand of one of our sincere visitor, Mr. Anil Wagh. This practice set contains 20 Questions of the same pattern as we had discussed on this blog in our previous post. I hope that you will be solve these questions, in case any problem you may ask for help by sending the “solution required for question no......” in comment or through forum.

Q1. If tanθ = 8/15 and θ is acute angle, then find the value of Cosecθ.

Ans. 17/8

Q2. Evaluate the following:

3Cos²30⁰ + Sec²30⁰ + 2Cos0⁰ + 3Sin90⁰ ─ tan²60⁰

Ans. 67/12 or 5whole(7/12)

Q3. Sin60⁰ Cos30⁰ + Cos60⁰ Sin30⁰ =?

Ans. 1

Q4. Evaluate the following:

Sin²60⁰ + Cos²30⁰ + Cot²45⁰ + Sec²60⁰ ─ Cosec²30⁰

Ans. 5/2 .

Q5. 2Sin²30⁰ ─ 3Cos²45⁰ + tan²60⁰ = ?

Ans. 2.

Q6. Evaluate the following:

Sin²30⁰ . Cos²45⁰ + 4tan²30⁰ + (1/2) Sin²90⁰ ─ 2Cos²90⁰

Ans. (47/24)

Q7. If x tan45⁰ . Cos60⁰ = Sin60⁰ . Cot60⁰ then find the value of x

Ans. x = 1

Q8. If tan²45⁰ ─ Cos²60⁰ = x Sin45⁰ . Cos45⁰ tan60⁰ , then find the value of x.

Ans. x = √3/2

Q9. If x Sin²60⁰ ─ (1/2) Sec60⁰ . tan²30⁰ + (4/3) Sin²45⁰ . tan²60⁰= 0, then find the value of x.

Ans. x = (─20/9)

Q10. If Sin42⁰ = x then find the value of Cos48⁰

Ans. Cos48⁰ = x

Q11. Sin²25⁰ + Sin²65⁰ = ?

Ans. 1.

Q12. Cos²75⁰ + Cos²15⁰ = ?

Ans. 1.

Q13. Sin²20⁰ + Sin²70⁰ ─ tan²45⁰  = ?

Ans. 0.

Q14. Sin20⁰ Cos70⁰ + Cos20⁰ Sin70⁰ =?

Ans. 1.

Q15. Cos64⁰ Cos26⁰ ─ Sin64⁰ Sin26⁰ =?

Ans. 0.

Q16. Sin53⁰ Cos37⁰ + Cos53⁰ Sin37⁰ =?

Ans. 1.

Q17. Cos72⁰ ─ Sin18⁰ = ?

Ans. 0.

Q18. tan35⁰ . tan40⁰ . tan45⁰ . tan50⁰ . tan55⁰ = ?

Ans. 1.

Q19. tan15⁰ . tan25⁰ . tan45⁰ . tan65⁰ . tan75⁰ = ?

Ans. 1.

Q20. Find the value of Cos52⁰ + Cos68⁰ + Cos172⁰ =?

Ans. 0.

Hope you have enjoyed these questions based this chapter till now. Visitor’s are warm heartedly welcomed with their related problems and queries. More Conceptual enjoyment will be continued for you soon, just keep visiting this blog regularly and writing me your related queries through comment or forum.

Best of Luck for Exams. To be continued soon........................