Find the exact value of each expression. tan 7π/12

Q: Find the exact value of each expression.   a)  Cot-1(-√3)    b) arccos(-1/2)

A: Range of Cot-1 is (0,π) In this range, it will be negative in the 2nd quadrant.  So,

Q: Find the exact value of each expression.

A: Given: tansin-135+π6

Q: Find the exact value of each expression.   a)  tan-1(1/√3)     b) Sec-12

A:

Q: Find the exact value of each expression: (ii) tan-1 V3

A: Given a expression, tan-13 To find the exact value of the expression.

Q: Find the exact value of each expression .cos-1(-1).

A: To find the exact value of cos-1-1. Solution: Principal range of the cos-1x is 0,π. Evaluating the…

Q: Find the exact value of each expression:

A: Given,  tan7π12 Find the exact value of above expression.

Q: Find the exact value, in radians, of the expression tan'- 13)

A:

Q: Find the exact value of each expression. Sin (7π/12)

A:

Q: Find the exact value of the expression: cos(1050)

A: we have to find the exact value of the expression cos(105°).  Cos(A+B) =cosAcosB-sinAsinB

Q: Find the exact value of each expression. tan 19 π/12

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Find the exact value of each expression. tan15°

A: To evaluate the value of, tan 15°

Q: Find the expression, identical to the given tan(5x)

A: Given the trigonometric identity tan(5x)

Q: Find the exact value of each expression.

A: Given : The expression is sin π2 - tan 19π4 .

Q: Find the exact value of the expression cos (240° + 45°)

A:

Q: Simplify each expression by substituting values from the table of exact values and thensimplifying…

A: We have to find the value of the expression: sin45ο+cos45ο2 We know the exact values from table:…

Q: Use a calculator to evaluate each expression to the nearest tenth of a degree.         tan -1…

A: According to the question, we have to solve the expression tan-10.3799 to the nearest tenth of…

Q: Write each expression as a single trigonometric function.   cos 7x cos 4x + sin 7x sin 4x

A:

Q: find the exact value of each expression.

A: Inverse trigonometric functions are the inverses of standard trigonometric functions. The input to…

Q: Find the exact value of tan A in simplest radical form. В 61 60 C A 11

A:

Q: Find the exact value of the expression. cos (30° + 120°) so:

A:

Q: Solve the given equation  tan(Theta)=7 Theta= ........... rad

A: The trigonometric equation is given by tanθ = 7 To evaluate : The value of θ

Q: Find the exact value of each expression; cos( - 120°)

A:

Q: Use a calculator to find the value of each expression rounded to two decimal places. cos-10.6

A: To find the value :                       cos-1 (0.6)

Q: find the exact value of each expression.

A: Given expression is  cotcos-1-33

Q: Find the exact value of each expression.

A: The given expression is arccos-1 Obtain the valve of arccos-1 by using Ti-83 calculator in degree…

Q: 10. Find the exact value of each expression, if it is defined. (a) tan1 (b) сos (c) tan (tan 37) (d)…

A: arctan1=π4  Decimal:0.78539…Degrees:45∘

Q: Find the exact value of each expression. cos 7π/12

A: Consider cos 7π12= cos 3π+4π12 =cos 3π12+4π12= cos π4+π3

Q: Simplify each expression by first substituting values from the table of exact values and…

A: Given : sin 45∘-cos 45∘2 We know, sin 45∘=22,  cos 45∘=22

Q: Find the exact value of each expression .

A: Consider the given expression as cos-1-32

Q: Find the exact value of each expression.

A: To find: Exact value of tan-133.

Q: Use a calculator to evaluate each expression to the nearest tenth of a degree. tan^-1 (0.849) = °

A:

Q: find the exact value of each expression.

A: cot-1-1

Q: Use a calculator to evaluate each expression to the nearest tenth of a degree.         tan -1…

A: Consider the given inverse trigonometric expression tan-13.7990

Q: 3. tan (-810°) 7Tt 4. sin 6.

A: 3) The value of tan-810° can be calculated as, tan-810°=-tan810°                          as…

Q: Simplify each expression by first substituting values from the table of exact values and…

A: 5sin260°

Q: Find the exact value of each expression.Do not use a calculator.

A: Given expression: 6 cos3π4+2 tan-π3 We can write the above expression as 6 cosπ2+π4+2 tan-π3

Q: find the exact value of each expression.

A: tancos-113

Q: Find the exact value of each expression.

A:

Q: find the exact value of each expression.

A: cos-1sin5π4

Q: Find the exact value of each expression.

A: Consider the given expression. y=sinπ6 Now, use the graphing calculator to find the value of the…

Q: Use an addition or subtraction formula to find the exact value of tan 75° = A+ VB, and fill in the…

A: Values of A and B

Q: Find the exact value of the expression cos(135° + 30°)

A: Find the exact value of the expression cos(135° + 30°)

Q: Find the exact value of each expression. (a)     sin(135° − 30°) (b)     sin 135° − cos 30°

A: (a) Sin (135°-30°)1st Method ,   Sin(x-y) = Sinx Cosy - Cos x Sin yNow         Sin 135° = Sin…

Q: Find the exact value of the expression. tan 1650°

A: solution:-we know that tan(n×180°+θ)=tanθbecause tan is positive in first and third quadrant

Q: Find the exact value of tan A in simplest radical form. 14 10 C v96

A: Consider the given figure. AB=14 BC=10 AC=96 We have to find the tanA In a right angle triangle…

Q: Find the exact value of each of the following. (a) sin(390°) (b) tan(-150°) (c) 47 sec (d) 97T CSC

A:

Q: Find the exact value of each expression. sin arccos 8 (a) co(arctan |(b) 6

A: (a) We need to find the exact value of the expression

Q: Find the exact value of tan A in simplest radical form. 61 60 A C 11

A: Use the formula for trigonometric ratio tangent in a triangle.

Q: Simplify each expression by first substituting values from the table of exact values and…

A: Determine the value of 4 sin 30°

Q: Find the exact value of each expression: tan 1 V3

A: We have to find exact value of the expression: tan-13 We know the exact value, tan π3=3 Therefore,…

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.