Analytic Trigonometry Quiz

Simplify sin t + cot t cos t

• sin t

• csc t

• sec t

• cot t

Which step would NOT be used in verifying the identity

(tan² x + 1)(cos² x - 1) = -tan² x

• ^{Use Pythagorean Identities}

• Use Reciprocal Identities

• Use the Verified Identity

• Use the Property of Exponents

What is the first step in verifying the equation

(sec² θ - 1) / (sec² θ) = sin² θ ?

• Pythagorean identity:

  (sec² θ - 1) / sec² θ = (tan² θ + 1) / sec² θ

• Rewrite as the difference of fractions:

  (sec² θ - 1) / sec² θ = (sec² θ/sec² θ) - 1/sec² θ

• Could be Either

• Neither

Which is a possible solution to

2 sin x - 1 = 0?

• x = π/6 + 2nπ

• x = 3π/6 +2nπ

• Both

• Neither

Tags

CCSS.HSG.SRT.C.8

What is the exact value of cos75°?

• (√6 - √2 ) ⁄ 4

• (√6 + √2 ) ⁄ 4

• (√6 - √2 ) ⁄ 3

• (√6 + √2 ) ⁄ 3

Tags

CCSS.HSG.SRT.C.8

Simplify the expression cos(θ - 3π/2).

• -cosθ

• cscθ

• -cscθ

• -sinθ

Tags

CCSS.HSG.SRT.C.7

Rewrite this equation so it is not in fractional form:

1 / (1 + sin x).

• csc² x - tan x csc x

• sec² x - tan x sec x

• sec² x - tan x

• csc² x - cot x

Solve the triangle of figure 6.3 by finding the remaining sides and angle.

• a = 49°

• A = 49°

• c = 43.06 feet

• c = 55.75 feet

• a = 43.06 feet

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the measure of angle C in the triangle shown in Figure 6.12.

• No Answer

• C = 41.12°

• C = 22.08°

• C = 34.68°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the remaining angles and the side of the triangle shown in Figure 6.13.

• a = 5.4072 , B = 110.3° , C = 44.7°

• a = 7.6215 , B = 44.7° , C = 110.3°

• a = 7.6215 , B = 110.3° , C = 44.7°

• a = 5.4072 , B = 44.7° , C = 110.3°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11