Hon Precalculus 2023-24
Ms. Nongera-Nickerson
2.1 Simplifying Trig Expressions using Basic, Reciprocal & Pythagorean Identities
1
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Unit 1 | Quiz 4 Retake 1:
2.1 Simplifying Trig Expressions using Basic, Reciprocal & Pythagorean Identities
No calculator
1. Simplify the following to a number or one trig function [3]
2
a.
1−𝑐𝑜𝑠 𝑥
b.
𝑠𝑒𝑐𝑥
𝑐𝑜𝑠𝑥
2
𝑐𝑠𝑐 𝑥
2
c.
1+𝑡𝑎𝑛 𝑥
2
2
𝑐𝑠𝑐 𝑥 − 𝑐𝑜𝑡 𝑥
Hon Precalculus 2023-24
Ms. Nongera-Nickerson
2.1 Simplifying Trig Expressions using Basic, Reciprocal & Pythagorean Identities
2
2. Factor and Simplify:
3. Multiply and simplify:
2
2
2
[3]
𝑐𝑠𝑐 𝑥 − 𝑠𝑖𝑛 𝑥𝑐𝑠𝑐 𝑥
2
𝑠𝑒𝑐 𝑥
(
1
2
𝑐𝑠𝑐 𝑥
2
𝑐𝑜𝑠 𝑥 +
1
2
𝑠𝑒𝑐 𝑥
)
[4]