735° = 15° ---> tan 735° =tan 15° Hence, tan 735° is equal to tan 15°. Problem 2 : Evaluate : cos (-870°) Solution : Since the given angle (-870°) has negative sign, we have to assume it falls in the fourth quadrant. In the fourth quadrant, "cos" is positive. S...
If A/2 is in the third or fourth quadrants, the formula uses the negative sign Cos A2 = ±1+CosA2 If A/2 is in the first or fourth quadrants, the formula uses the positive sign. If A/2 is in the second or third quadrants, the formula uses the negative sign ...
IfSinθ=cosθ, find the value ofθ View Solution Ifsinθ+cosθsinθ−cosθ=3andθis an acute angle, then the value of3sinθ+4cosθ8cosθ−3sinθis View Solution Ifsinθ+cosθ=√2, then find the value ofsinθ−cosθ. ...
tan(θ)=2tan(θ)=2,sin(θ)<0sin(θ)<0 The sine function is negative in the third and fourth quadrants. The tangent function is positive in the first and third quadrants. The set of solutions forθθare limited to the third quadrant since that is the only quadrant found in both sets...
Properties of Sine as Per Quadrants We can determine the values of sine function as positive or negative depending upon the quadrants. Here is a table where we can see that on one hand sine 270 is negative and on the other hand sine 90 is positive. Basically, for the first and the seco...
Thus, the angles where sinθ=−12 in the third and fourth quadrants are:- Third quadrant: 180∘+30∘=210∘- Fourth quadrant: 360∘−30∘=330∘ Step 4: Check the tangent valueNow we check the value of tanθ:- In the third quadrant, tanθ is positive, and tan30∘=1...
Answer to: Determine whether the statement is true or false. Because sin(- t) = - sin t, it can be said that the sine of a negative angle is a...
In each of the four quadrants, the signs of the secant function and sine function will be the same. Determine whether the statement is true or false. Because the sine function is an odd function, for a negative number u, sin 2 u = -2 sin...
150=30, which is the reference angle. the value of sine in other two quadrants, i.e. 3rd and 4th are negative. in the same way, sin 0 = sin 180 trigonometry table trigonometry ratio table angles (in degrees) 0 30 45 60 90 180 270 360 angles (in radians) 0 π/6 π/4 π/3 ...
View Solution If2cosθ1−cosθ−sinθ=45, then evaluate 1−cosθ+sinθcosθ−1 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...