Lesson Example Discussion Quiz: Class Homework |
Quiz Discussion |
Title: Trigonometry Identities (quotient , co-function) |
Grade: 1400-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)\$ |
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