Quiz Discussion

Title: Trigonometry Identities (quotient , co-function)

Grade: 1300-a Lesson: S3-L4

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id Problem Options

Steps 1

Use cofunction identities to simplify the expression \$ "csc"^2"𝑥" − "tan"^2 (pi/2 − "𝑥") \$.

A) 1

B) 60

C) 0

D) None of these above

Steps 2

Find the value of \$"cos" "A" times 1/("sinB") - "cosA" times 1/ ("cosecB")\$ such that A and B are two complementary angles.

A) \$"tan"^2(A)\$

B) \$"sin"^2("A")\$

C) \$"cot"^2("A")\$

D) \$"cos"^2("A")\$

Steps 3

If the combined value of A and B is \$π/2\$, find the value of \$(1 - "sin"^2("A")) (1 - "cos"^2("A")) times (1 + "cot"^2("B")) (1 + "tan"^2("B"))\$.

A) 2

B) -1

C) -2

D) 1

Steps 4

Find the value of \$\sqrt (("cscA" times "cscB" ) times 1/(("sinA"/"sinB") + ("cosA"/"cosB"))) \$ such that A and B are two complementary angles.

A) 2

B) 0

C) 1

D) None of these above

Steps 5

Evaluate \$(1 + cos\theta - sin^2(\theta))/(sin\theta(1 + cos\theta))\$.

A) \$-"cot"(\theta)\$

B) \$"tan"(\theta)\$

C) \$"cot"(\theta)\$

D) \$-"tan"(\theta)\$


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 23-May-2024 09:20AM EST