What is the value of sin theta cos theta?

What is the value of sin theta cos theta?

Values of Trigonometric Ratios

Angle (In Degree) 90°
Sin θ 0 1
Cos θ 1 0
Tan θ 0
Cot θ 0

Is sin theta plus cos theta equal to 1?

We know the property \[{{\sin }^{2}}\theta +{{\cos }^{2}}\theta =1\]. So the obtained value of \[\sin \theta \cos \theta \]is equal to 0. So, the correct answer is “Option A”. Note: Use the property \[{{\sin }^{2}}\theta +{{\cos }^{2}}\theta =1\] to simplify the given problem.

What is the value of cos theta by 1?

The exact value of arccos(−1) is π . The cosine function is negative in the second and third quadrants.

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Is sin always less than 1?

no, the value of sin and cos can’t be greater than 1 as these are the ratios having hypotenuese as the denominator and as in an right angle triangle the hypotenuese is the longest side the value of sin and cos can’t be greater than 1.

Is the value of sin theta cos theta is always greater than 1?

False. The value of (sinθ + cosθ) for θ = 0° is 1.

Can you have sin theta 1?

Hence, the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = – 32, Which is impossible since the numerical value of sin x cannot be greater than 1.

Is sin theta cos theta equal to 1 then the value of sin 2 theta is equal to?

If sinθ+cosθ=1, then sin2θ= A. 0B. So, the value of $\sin 2\theta $ is zero (0) if $\sin \theta + \cos \theta = 1$.

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What is the value of 1 cos theta by 1 cos theta?

Answer: The value of (1 + cos θ) / (1 – cos θ) is tan2 θ / ( sec θ – 1) Let’s solve step by step.

What is the maximum value of sin Theta?

The value of sin theta has a maximum value of 1 and a minimum value of -1. In this case, the domain of validity of the trigonometric identity csc theta which is the inverse of sin theta hence is ranging from negative infinity to positive infinity.

What is the sine of Theta?

When broken down, this represents that Sine (S) is equal to the length of the side opposite angle theta (O) divided by the length of the hypotenuse (H) so that Sin(X) = Opp/Hyp. Similarly, Cosine (C) is equal to the length of the adjacent side (A) divided by the hypotenuse.

What is the exact value of Cos 165?

For the answer to the question above asking to find the exact value of cos 165 degrees. The answer to this question is. cos 165 = cos (120+45) = cos120 cos 45 – sin 120 sin 45.

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What is the sine of a 30 degree angle?

What is sin 30°. In a triangle which has one angle of 90 degrees, the sine of the angle of 30° is the ratio of the length of the opposite side o to the length of the hypotenuse h: sin 30° = o/h.