2017年11月14日 · In this case, 105, can be split into 45+60 (cos (45+60)) Use the sum formula for cosine to simplify the expression. The formula states that cos (A+B) = - (cos (A) cos (B) + sin (A) sin (B)). The exact value of cos(60) is 1/2. So multiply 1/2 to cos (45) - sin (60) times sin (45). The exact value of cos (45) is the square root of 2 over 2

2025年2月15日 · Write the following expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 2 sin 105° cos 105° Write the following expression as the sine, cosine, or tangent of a double angle. Select the correct choice below and fill in the answer box to complete your choice. O (Simplify your answer.

2023年1月23日 · The** exact** value of cos 105 degrees is (√3-1) / 2√2 . What is Trigonometric Function ? Trigonometric functions also are referred to as circular features can be really described as the capabilities of an angle of a triangle.

The given expression 2 sin 105° cos 105° can be written as sin(210°) using the double angle identity for sine, and the exact value of sin(210°) is -1/2. Explanation: To express the expression 2 sin 105° cos 105° as the sine, cosine, or tangent of a double angle, we can use the identity for sin(2θ) = 2 sin(θ) cos(θ).

To find the exact value of cos 10 5 ∘, we can use the angle sum formula. We can express 10 5 ∘ as 6 0 ∘ + 4 5 ∘. Use the Cosine Angle Sum Formula: The cosine of the sum of two angles is given by: cos (a + b) = cos a ⋅ cos b − sin a ⋅ sin b Here, let a = 6 0 ∘ and b = 4 5 ∘. Find Values of Cosine and Sine: cos 6 0 ∘ = 2 1 sin ...

2019年12月7日 · Again, given that **csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative} ** Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative. And** csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive.

2024年12月31日 · Write the given expression as the sine of an angle. sin 105ºcos 35° + sin 35° cos 105° a. sin(-70) b. sin(140) (350) d. sin(70) e. sin(105°) Community Answer Find the exact value of sin 105°, cos 105° using the fact that 105°=135° - 30°

cos 105° = Type an exact answer, using radicals as needed. Use integers or fractions for any n Use the Half-angle Formulas to find the exact value of the expression sin 12 12 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the 2[글 cos-1(- )] Find the exact value of sin 12 2 2 13 (Type an exact ...

2025年3月21日 · So, we'll use the half-angle identity for cosine, knowing that the output should be negative since cos 10 5 ∘ is negative in the second quadrant. Step 2: Choice of Formula. The half-angle formula for cosine is: cos (2 x ) = ± 2 1 + cos x Since cos 10 5 ∘ is negative, we use: cos 10 5 ∘ = − 2 1 + cos 21 0 ∘ Step 3: Calculating cos 21 ...

2020年12月29日 · Cos(105°) is -0.26, and csc(105°) is 1.03, based on the even and odd properties of the cosine and cosecant functions. The cosine of an angle in trigonometry is an even function, which means that cos(θ) = cos(-θ).