1 answer:
1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ)
Note:
sin(90 + θ) = cosθ Cosine and Sine are complementary.
cos(360 - θ) = cosθ Cosine positive in 4th quadrant.
tan(-θ) = -tanθ Negative angle concept.
1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ) = 1/(cosθcosθ) - (-tanθ)²
= 1/(cos²θ) - tan²θ
= (1/cosθ)² - tan²θ
Note: 1/cosθ = secθ
= (secθ)² - tan²θ
= sec²θ - tan²θ
= 1
Note that 1+ tan²θ = sec²θ is a Trigonometric identity.
That means: sec²θ - tan²θ = 1
Hope this explains it.
You might be interested in
Answer:
$8.30
Step-by-step explanation:
7.99 + 4% = 8.30
From the cars parked in the lot he will earn (40)($10)=$400, but he will need to pay $50 for the rent. Thus his total $ earned will be $400-$50=$350.
Answer:
b=-2
Step-by-step explanation:
3√-8 = -2
-2^3 = -8
Answer:
23.7%
Step-by-step explanation:
The percentage change can be computed as ...
((new value)/(original value) -1) × 100%
= (58/76 -1) × 100%
≈ (0.763 -1) × 100% = -23.7%
The decrease is 23.7%.