Question

Assertion: sin60°=cos30°.
Reason: sin20=sin0+sin0, where 0 is an acute angle.​

Answer 1

Answer:

yes

Step-by-step explanation:

as sin 30' = 1/root 2 and cos 60 Is also same

Answer 2

Correct Question:

Assertion: $sin60\textdegree=cos30\textdegree$.

Reason: $sin2A=sinA+sinA$, where A is an acute angle.​

Choose the correct option.

(1) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

(2) Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

(3) Assertion is correct but Reason is incorrect

(4) Assertion is incorrect but Reason is correct​

Final Answer:

The correct option is 3 as the statement in the Assertion is correct but the statement in the Reason is incorrect.

Given:

Assertion: $sin60\textdegree=cos30\textdegree$.

Reason: $sin2A=sinA+sinA$, where A is an acute angle.​

To Find:

The correctness of the statements in the assertion and the reason.

Explanation:

The following points are useful in finding the solution to this problem.

• Th formula relating the sine of an angle to the sine of the double angle is $sin2A=2sinAcosA$
• The sine of an angle is equal to the cosine of its complementary angle.
• Two angles are complementary, when the sum of their angular values is a right angle.

Step 1 of 2

From the statement in the assertion, the following is deduced.

$sin60\textdegree\\=cos(90\textdegree-60\textdegree)\\=cos30\textdegree\\=\frac{\sqrt{3}}{2}$

So, the statement in the assertion is found to be correct.

Step 2 of 2

The statement in the reason $sin2A=sinA+sinA$ is absolutely incorrect with reference to the formula of sin2A, as discussed above.

Therefore, the required correct answer is in option 3.

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https://brainly.in/question/875641

https://brainly.in/question/54066276

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