Trigonometric identities are relationships between the trigonometric functions for specific angles. We can use these identities to find exact values of trigonometric functions of an angle. This comes in useful when we are dealing with the trigonometric function of an angle that is not obvious, such as tan(120°). Answer and Explanation:

Find the value of tan 45 o + 2 cos 60 o – sec 60 o. Solution: From the trigonometry table, tan 45 o = 1, cos 60 o = ½ and sec 60 o = 2. Therefore, tan 45 o + 2 cos 60 o – sec 60 o = 1 + 2 × ½ – 2 = 1 + 1 – 2 = 0. Example 2: Find the value of sin 75 o. Solution: We can write, sin 75 o = sin (45 o + 30 o) = sin 45 o cos 30 o + cos 45 o ...

tan θ tan (120 °-θ) × tan (120 ° + θ) = 1 3. Let us express tan 120 ° as tan (180-60) ° On substituting the value of tan 120 ° from above in the given equation. tan θ × tan 180 ∘-60 ∘-θ × tan 180 ∘-60 ∘ + θ = 1 3. On rearranging the terms we get. tan θ × tan 180 ∘ +-θ-60 ∘ × tan 180 ∘ + θ-60 ∘ = 1 3. From ...

Find the exact value of the following. tan(135 degree) + sin(30 degree) cot(120 degree). Use the unit circle to find all values of \theta between 0 and 2\pi for which the given statement is true. \sin \theta = 1/2

Answer to: Evaluate the expression. 2 tan^2 120 degree + 3 sin^2 150 degree - cos^2 180 degree. By signing up, you'll get thousands of step-by-step...

Use the figure to find the exact values of sin 2u, cos 2u, and tan 2u. Find the exact value of sin 165 degrees without using a calculator. Find the exact value of the expression. cos 120 degrees cos 30 degrees + sin 120 degrees sin 30 degrees; Find the exact values of sin, tan, and cos of 17pi/12. Find the exact values of sin, tan, and cos of ...

So the trigonometric function will not change. That means, in the next step we should write “tan” only. Also, 180° – θ lies in the second quadrant, where the tan is not positive (only sine and cosecant are positive). Thus, tan(180° – θ) = – tan θ. Similarly, tan(180° – x) = – tan x. And. tan (180° – a) = – tan a

2023年11月21日 · Our engaging video lesson covers the different formulas for sin, cos, and tan, plus a practice quiz. ... That'll make our math a little simpler. So that looks like this: tan(120) = 2tan(60) / (1 ...

If mtanθ 30°=ntanθ +120°, then m+n/m n is equal to

4. {eq}\tan 40^{\circ}=\dfrac{y}{120} {/eq} Angle of Elevation: An angle of elevation is the angle formed when we look upwards at any point or object and compare the line of sight with the horizontal.