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2 years ago

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

7 0

Answer:

3.7

Step-by-step explanation:

Given

sin²θ + cos²θ = 1
sinθ = 0.27

Solving for cosθ

cos²θ = 1 - sin²θ
cos²θ = 1 - (0.27)²
cos²θ = 0.0729

Finding tanθ

tanθ = sinθ / cosθ
tanθ = 0.27 / 0.0729
tanθ = 3.7

Verifying it lies in the range

θ = tan⁻¹ (3.7)
θ = 74.88°
Range is : 0 < θ < π/2 [or 0 < θ < 90°]
It lies in the range [Verified]

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The length of a parallelogram exceeds its breadth by 30 cm. If the perimeter of the parallelogram is 2 m 60 cm, find the length

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$\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}$

$\longrightarrow \sf{2(1 + b) = 260}$

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$\large\bm{Breadth= \: 50cm}$

$\large\bm{Length= \: 80cm}$

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1 year ago

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