Math, asked by kaunain28, 7 days ago

find LCM and HCF of 105 and 438​

Answers

Answered by manjubatti9
3

Answer:

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Attachments:
Answered by xxxmysterxxx
7

Answer:

EXPLANATION.

cot∅ = 7/8.

As we know that,

cot∅ = 7/8 = Base/perpendicular.

\sf \implies \dfrac{(1 + sin \theta)(1 - sin \theta)}{(1 + cos \theta)(1 - cos \theta)}⟹

(1+cosθ)(1−cosθ)

(1+sinθ)(1−sinθ)

As we know that,

Formula of :

⇒ x² - y² = (x + y)(x - y).

Using this formula in equation, we get.

\sf \implies \dfrac{(1 - sin^{2} \theta)}{(1 - cos^{2} \theta)} = \dfrac{cos^{2} \theta}{sin^{2} \theta}⟹

(1−cos

2

θ)

(1−sin

2

θ)

=

sin

2

θ

cos

2

θ

⇒ cot²∅.

Put the value of cot∅ = 7/8 in equation, we get.

⇒ cot²∅ = (7/8)².

⇒ cot²∅ = 49/64.

MORE INFORMATION.

Fundamental trigonometric identities.

(1) = sin²∅ + cos²∅

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