Lesson Worksheet: Evaluating Trigonometric Functions Using Pythagorean Identities Mathematics • 10th Grade

In this worksheet, we will practice using the Pythagorean identities to find the values of trigonometric functions.

Q1:

Find the value of (π‘₯+π‘₯)+(π‘₯βˆ’π‘₯)cossincossin.

Q2:

Find 1+𝐴tan, given that 𝐴𝐡𝐢 is a right triangle at 𝐢, where 𝐴𝐡=10cm and 𝐡𝐢=6cm.

  • A732
  • B1116
  • C3532
  • D2516

Q3:

Find the value of cotοŠ¨πœƒ given cscοŠ¨πœƒ=259.

  • A43
  • B169
  • C1625
  • D916

Q4:

Find the value of sincosπœƒπœƒ given sincosπœƒ+πœƒ=54.

  • A932
  • B916
  • C132
  • D18

Q5:

Find the value of tancotοŠ¨οŠ¨πœƒ+πœƒ given tancotπœƒ+πœƒ=17.

Q6:

Find cosπœƒ given sinπœƒ=βˆ’35 where 270β‰€πœƒ<360∘∘.

  • Aβˆ’34
  • B35
  • C45
  • Dβˆ’45

Q7:

Knowing that sinπ‘₯=√137 and πœ‹2≀π‘₯β‰€πœ‹, find tanπ‘₯.

  • A1336
  • B6√13
  • C√136
  • Dβˆ’6√13
  • Eβˆ’βˆš136

Q8:

Find the value of secπœƒ given sectanπœƒβˆ’πœƒ=16 where 0<πœƒ<πœ‹2.

  • A3718
  • B3712
  • C3512
  • D209

Q9:

Find the value of cscsintancotcosπœƒπœƒβˆ’πœƒπœƒ+πœƒοŠ¨ given πœƒβˆˆο€Όπœ‹,3πœ‹2 and sinπœƒ=βˆ’45.

  • Aβˆ’925
  • Bβˆ’5925
  • C5925
  • D925

Q10:

Find the value of 2πœƒπœƒsincos given 12πœƒ+5=0tan where 180<πœƒ<360∘∘.

  • A524
  • Bβˆ’524
  • C120169
  • Dβˆ’120169

This lesson includes 31 additional questions and 178 additional question variations for subscribers.

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