Assertion (A): If then the value of cos A is, Class 10 Maths Introduction to Trigonometry questions with solutions

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Q.
Assertion (A): If $sinA = \frac{1}{3} (0 ° < A < 90 °),$ then the value of cos A is $\frac{2 \sqrt{2}}{3}$

Reason (R): For every angle $θ, \sin^{2} θ + \cos^{2} θ = 1 .$

Solution

Q.
Assertion (A): If $sinA = \frac{1}{3} (0 ° < A < 90 °),$ then the value of cos A is $\frac{2 \sqrt{2}}{3}$

Reason (R): For every angle $θ, \sin^{2} θ + \cos^{2} θ = 1 .$

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

2 Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of Assertion (A)

3 Assertion (A) is true but reason(R) is false.

4 Assertion (A) is false but reason(R) is true.

Ans.
(1) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

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Solution

Q. Assertion (A): If sinA=13(0°<A<90°), then the value of cos A is 223 Reason (R): For every angle θ, sin2θ+cos2θ=1.

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

2 Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of Assertion (A)

3 Assertion (A) is true but reason(R) is false.

4 Assertion (A) is false but reason(R) is true.

Ans. (1) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

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Q.
Assertion (A): If $sinA = \frac{1}{3} (0 ° < A < 90 °),$ then the value of cos A is $\frac{2 \sqrt{2}}{3}$

Reason (R): For every angle $θ, \sin^{2} θ + \cos^{2} θ = 1 .$

Ans.
(1) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)