Answered

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Given the triangle below, which of the following is a correct sta
A
LO
5
B
6
○ cot < B = 1/2
O
5
○ csc 2 C = 2²/04
3
O
8
O
○ cot / C = ²/3
5
6
4
○ csc ≤ B = 1/3
O
8
C

Sagot :

Among all the statements the correct statement is cosec B=4/3 which is last statement.

Given a triangle in which angles are different.

We are required to find the correct statement among the given statements.

We have to take statements one by one and find the trigonometric ratios.

Trigonometric ratios are the ratios which expresses the ratios of the sides of a right angled triangle.

Sin Θ=P/H    

Cos Θ=B/H

Tan Θ=P/B

Cosec Θ=H/P

Sec Θ=H/B

Cot Θ=B/P

  • First statement: cot B=6/5

When we take angle B then we can find that cot B=5/6.

So the first statement is wrong.

  • Second statement: Cosec C=3/4

When we take angle C then we can find that cosec C=8/5.

So the second statement is also wrong.

  • Third statement: Cot C=8/5.

When we take angle C then we can find that cot C=6/5.

So the third statement is also wrong.

  • Fourth statement: Cosec B=4/3

When we take angle B then we can find that Cosec B=8/6=4/3

So the fourth statement is correct.

Hence among all the statements the correct statement is cosec B=4/3 which is last statement.

Learn more about trigonometric ratios at https://brainly.com/question/24349828

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